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question_answer1)
\[{{5}^{3}}+{{5}^{3}}+{{5}^{3}}+{{5}^{3}}+{{5}^{3}}\]is equal to
A)
\[{{5}^{4}}\] done
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B)
\[{{55555}^{3}}\] done
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C)
\[{{5}^{5}}\] done
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D)
None of these done
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question_answer2)
\[{{\left\{ {{3}^{-2}}+{{\left( \frac{3}{2} \right)}^{-2}} \right\}}^{-1}}=?\]
A)
\[{}^{81}/{}_{4}\] done
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B)
\[{}^{5}/{}_{9}\] done
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C)
\[\frac{9}{5}\] done
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D)
\[\frac{4}{81}\] done
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question_answer3)
What is the value of\[\left( 1{}^\circ \times 2{}^\circ \right)\times {{5}^{2}}?\]
A)
25 done
clear
B)
0 done
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C)
\[-25\] done
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D)
1 done
clear
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question_answer4)
\[{{\left( \frac{5}{7} \right)}^{5}}\]can be written as
A)
\[{{\left( \frac{7}{5} \right)}^{5}}\] done
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B)
\[{{\left( 57 \right)}^{6}}\] done
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C)
\[\frac{{{5}^{5}}}{{{7}^{5}}}\] done
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D)
\[{{\left( {{5}^{5}} \right)}^{7}}\] done
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question_answer5)
Which of the following values are equal?
(i)\[{{1}^{3}}\] | (ii)\[4{}^\circ \] |
(iii)\[{{0}^{4}}\] | (iv)\[{{3}^{1}}\] |
A)
(i) and (ii) done
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B)
(ii) and (iii) done
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C)
(i) and (iii) done
clear
D)
(i) and (iv) done
clear
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question_answer6)
What is the sum of the powers of the prime factors in\[72\times 1927\]?
A)
5 done
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B)
7 done
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C)
8 done
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D)
12 done
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question_answer7)
Express \[{{\left( -3 \right)}^{4}}\div {{n}^{4}}\]in the form\[{{\left( \frac{a}{b} \right)}^{m}}\].
A)
\[\frac{-24}{{{n}^{3}}}\] done
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B)
\[{{\left( -\frac{3}{4} \right)}^{4}}\] done
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C)
\[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\] done
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D)
\[\left( \frac{-3}{n} \right)\times \left( \frac{-3}{n} \right)\] done
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question_answer8)
Which of the following is the smallest number?
A)
\[{{1}^{5}}\] done
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B)
\[{{(-10)}^{1}}\] done
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C)
\[{{(-1)}^{4}}\] done
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D)
\[{{(-1)}^{3}}\] done
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question_answer9)
Express\[\underline{a\times a\times a}\]\[\times \]\[\underline{c\times c\times c\times c}\]\[\times \]\[b\times b\]in exponential form.
A)
\[{{a}^{3}}{{c}^{3}}{{b}^{3}}\] done
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B)
\[{{a}^{3}}{{c}^{3}}b\] done
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C)
\[{{a}^{3}}{{c}^{3}}b\] done
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D)
\[{{a}^{3}}{{c}^{4}}{{b}^{2}}\] done
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question_answer10)
Which of the following statements is correct?
A)
\[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{2}})}^{4}}\] are not the same done
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B)
\[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{4}})}^{2}}\] are the same done
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C)
\[{{({{6}^{49}})}^{2}}={{6}^{492}}\] done
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D)
\[{{({{8}^{7}})}^{3}}={{8}^{10}}\] done
clear
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question_answer11)
What is the value of\[{{2}^{4}}\times {{5}^{3}}\]
A)
2453 done
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B)
2000 done
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C)
11200 done
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D)
10000000 done
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question_answer12)
Find the value of\[{{2}^{0}}+{{3}^{0}}+{{4}^{0}}+{{5}^{0}}+{{6}^{0}}+{{7}^{1}}\]
A)
12 done
clear
B)
234 done
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C)
1 done
clear
D)
24 done
clear
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question_answer13)
What is the result of\[\frac{{{2}^{1}}\times {{3}^{2}}\times {{3}^{3}}}{{{1}^{2}}\times {{4}^{2}}}\]?
A)
\[\frac{243}{8}\] done
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B)
42 done
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C)
\[\frac{46}{16}\] done
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D)
48 done
clear
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question_answer14)
Express \[\frac{729\times 64}{270}\] as a product of prime factors in exponential form.
A)
\[\frac{{{2}^{6}}\times {{3}^{4}}}{27}\] done
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B)
\[\frac{{{2}^{5}}\times {{3}^{3}}}{5}\] done
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C)
\[\frac{{{2}^{5}}\times {{3}^{3}}}{{{5}^{3}}}\] done
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D)
\[\frac{{{2}^{6}}\times {{3}^{2}}}{{{5}^{2}}}\] done
clear
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question_answer15)
The value \[\frac{{{\left( -\frac{1}{2} \right)}^{5}}}{{{\left( -\frac{1}{2} \right)}^{4}}}\div \frac{\left( -\frac{1}{8} \right)}{\left( -\frac{1}{4} \right)}\] is
A)
1 done
clear
B)
2 done
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C)
3 done
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D)
\[-1\] done
clear
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question_answer16)
If \[\frac{x}{y}={{\left( \frac{6}{7} \right)}^{3}}\div {{\left( \frac{7}{6} \right)}^{-3}},\] then the value of \[{{\left( \frac{x}{y} \right)}^{-10}}\] is
A)
1 done
clear
B)
0 done
clear
C)
\[-1\] done
clear
D)
Cannot be determined done
clear
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question_answer17)
The value \[\left( {{9}^{\frac{4}{3}}}\div {{81}^{\frac{2}{3}}} \right)\times {{3}^{\frac{3}{2}}}\]is.......
A)
36 done
clear
B)
32 done
clear
C)
\[{{3}^{\frac{27}{6}}}\] done
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D)
None of these done
clear
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question_answer18)
The value of\[{{\left( \frac{8}{125} \right)}^{\frac{-4}{3}}}\]
A)
\[\frac{625}{16}\] done
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B)
\[\frac{125}{16}\] done
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C)
\[\frac{16}{25}\] done
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D)
\[\frac{-625}{16}\] done
clear
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question_answer19)
Cube of \[\left( -\frac{1}{9} \right)\] is............
A)
\[\left( \frac{-1}{729} \right)\] done
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B)
\[\frac{1}{963}\] done
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C)
\[\frac{1}{850}\] done
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D)
\[\left( \frac{1}{729} \right)\] done
clear
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question_answer20)
If \[{{8}^{x-1}}={{2}^{x+3}},\]then \[x\] is
A)
2 done
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B)
1 done
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C)
0 done
clear
D)
3 done
clear
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question_answer21)
If\[\sqrt{{{3}^{x}}}=243,\] then\[x=\]?
A)
2 done
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B)
4 done
clear
C)
6 done
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D)
10 done
clear
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question_answer22)
If \[{{3}^{x}}=300\], then the value of \[{{3}^{x-2}}\] is
A)
\[\frac{200}{11}\] done
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B)
\[\frac{300}{50}\] done
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C)
\[\frac{100}{3}\] done
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D)
\[\frac{300}{2}\] done
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question_answer23)
If \[x={{y}^{3}},\]which expression is equal to\[{{y}^{1/2}}\]
A)
\[{{x}^{1/6}}\] done
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B)
\[{{x}^{6}}\] done
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C)
\[{{x}^{1/12}}\] done
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D)
\[{{x}^{-1/12}}\] done
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question_answer24)
Find the numerical value of\[{{\left( 4096 \right)}^{\frac{-1}{4}}}\].
A)
16 done
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B)
8 done
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C)
4 done
clear
D)
\[\frac{1}{8}\] done
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question_answer25)
Simplify\[\frac{{{\left( 9{{m}^{2}} \right)}^{1/3}}}{{{6}^{4}}}\times \frac{{{\left( 4{{n}^{2}} \right)}^{1/3}}}{5m}\].
A)
\[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{1/3}}\] done
clear
B)
\[\frac{1}{5}{{\left[ \frac{n}{{{m}^{2}}{{6}^{10}}} \right]}^{1/3}}\] done
clear
C)
\[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{-10}}} \right]}^{1/3}}\] done
clear
D)
\[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{2/3}}\] done
clear
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question_answer26)
Simplify and leave the answer in exponent form\[{{\left( \frac{3}{5} \right)}^{-30}}\times {{\left( \frac{5}{3} \right)}^{-30}}\].
A)
\[\frac{3}{5}\] done
clear
B)
\[{{1}^{1}}\] done
clear
C)
\[{{\left( \frac{3}{5} \right)}^{-60}}\] done
clear
D)
\[{{\left( \frac{5}{3} \right)}^{-60}}\] done
clear
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question_answer27)
Find the numerical value of\[{{16}^{0.75}}\].
A)
8 done
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B)
32 done
clear
C)
\[{{2}^{-3}}\] done
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D)
\[{{4}^{-3}}\] done
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question_answer28)
Simplify\[\frac{{{\left( {{a}^{-n}} \right)}^{m}}\times {{a}^{-2m}}}{{{a}^{mn}}\times {{a}^{2m}}}\]
A)
\[100\,{{a}^{\frac{25}{4}}}\] done
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B)
\[\frac{1}{100{{a}^{\frac{21}{4}}}}\] done
clear
C)
\[20{{a}^{\frac{-21}{4}}}\] done
clear
D)
\[20{{a}^{\frac{21}{4}}}\] done
clear
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question_answer29)
Simplify\[\frac{{{\left( 9{{a}^{2}} \right)}^{1/2}}\times {{\left( 25{{a}^{4}} \right)}^{\frac{-1}{2}}}}{5{{a}^{1/2}}\times 3{{a}^{1/2}}\times 4{{a}^{9/4}}}\]
A)
\[100\,{{a}^{\frac{25}{4}}}\] done
clear
B)
\[\frac{1}{100{{a}^{\frac{21}{4}}}}\] done
clear
C)
\[20{{a}^{\frac{-21}{4}}}\] done
clear
D)
\[20\,{{a}^{\frac{21}{4}}}\] done
clear
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question_answer30)
Express \[{{6}^{2}}\times \] \[{{7}^{-4}}\times \]\[{{({{8}^{-2}})}^{2}}\times \]\[{{6}^{3}}\times \]\[{{({{7}^{2}})}^{2}}{{8}^{4}}\] in the simplest exponential form.
A)
\[{{6}^{5}}{{7}^{2}}\] done
clear
B)
\[{{6}^{5}}\] done
clear
C)
\[{{6}^{-5}}{{7}^{2}}\] done
clear
D)
\[{{6}^{-5}}{{7}^{2}}\] done
clear
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question_answer31)
Solve \[{{81}^{2x}}={{\left( 729 \right)}^{2}}\]
A)
\[x=\frac{3}{4}\] done
clear
B)
\[x=\frac{2}{3}\] done
clear
C)
\[x=\frac{5}{6}\] done
clear
D)
\[x=\frac{3}{2}\] done
clear
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question_answer32)
Which of the following has the same value of \[{{3}^{6}}\times {{({{3}^{-2}})}^{2}}\times {{({{2}^{3}})}^{2}}\times {{({{2}^{-2}})}^{3}}\]
A)
\[9{}^\circ \] done
clear
B)
\[9\] done
clear
C)
\[{{9}^{2}}\] done
clear
D)
\[{{9}^{3}}\] done
clear
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question_answer33)
The value of x so that \[{{\left( \frac{2}{7} \right)}^{4}}.{{\left( \frac{2}{7} \right)}^{3}}={{\left( \frac{2}{7} \right)}^{4x-1}}\]is
A)
\[1\] done
clear
B)
2 done
clear
C)
3 done
clear
D)
4 done
clear
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question_answer34)
Avogadro number is written as\[602,\]\[000,\]\[000,\]\[000,\]\[000,\]\[000,\]\[000,\]\[000\]. Express this number in standard form.
A)
\[6.02\times {{10}^{23}}\] done
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B)
\[6.02\times {{10}^{21}}\] done
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C)
\[602.0\times {{10}^{21}}\] done
clear
D)
\[0.602\times {{10}^{23}}\] done
clear
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question_answer35)
What is the simplified form of\[{{\left( -6xy \right)}^{6}}\div {{\left( -6xy \right)}^{2}}\]?
A)
\[{{\left( -6xy \right)}^{6}}\] done
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B)
\[{{\left( -6xy \right)}^{8}}\] done
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C)
\[\left( -6xy \right)\] done
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D)
\[{{\left( -6xy \right)}^{4}}\] done
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question_answer36)
A number in standard form in written as\[6.6\times {{10}^{6}}.\] It can also be written as:
A)
6666666 done
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B)
66000 done
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C)
6600000000 done
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D)
6600000 done
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question_answer37)
The speed of light is\[300,000,000\,\,m{{s}^{-1}}\]. Express it in standard form.
A)
\[3.0\times {{10}^{8}}m{{s}^{-1}}\] done
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B)
\[3.0\times {{10}^{10}}m{{s}^{-1}}\] done
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C)
\[3.0\times {{10}^{6}}m{{s}^{-1}}\] done
clear
D)
\[3.0\times {{10}^{6}}m{{s}^{-1}}\] done
clear
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question_answer38)
Which is greater \[{{4}^{3}}\]or\[{{3}^{4}}\]?
A)
Both are equal done
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B)
\[{{4}^{3}}\] done
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C)
\[{{3}^{4}}\] done
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D)
Cannot be determined done
clear
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question_answer39)
Solve\[{{\left( {{4}^{5}} \right)}^{x}}={{\left( {{4}^{4}} \right)}^{x}}\div {{4}^{2}}\]
A)
\[x=4\] done
clear
B)
\[x=-2\] done
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C)
\[x=-3\] done
clear
D)
\[x=2\] done
clear
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question_answer40)
The value of \[\frac{{{x}^{-4}}\times {{y}^{-6}}}{{{x}^{-16}}\times {{y}^{-7}}}\]
A)
\[{{x}^{-1}}\times {{y}^{-1}}\] done
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B)
\[{{x}^{-1}}\text{ }{{y}^{-1}}\] done
clear
C)
\[\frac{1}{{{x}^{12}}y}\] done
clear
D)
\[{{x}^{12}}y\] done
clear
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