question_answer1) A What is the value of \[({{3}^{0}}-{{4}^{0}})\times {{5}^{2}}\]?
A) \[25\]
B) \[0\]
C) \[-25\]
D) \[1\]
View Answer play_arrowquestion_answer2) What is the value of \[{{\left( \frac{16}{81} \right)}^{2}}\]?
A) \[\frac{9}{2}\]
B) \[\frac{2}{9}\]
C) \[{{\left( \frac{2}{3} \right)}^{8}}\]
D) \[\frac{27}{8}\]
View Answer play_arrowquestion_answer3) Which of the following is true?
A) \[10\times {{10}^{11}}={{100}^{11}}\]
B) \[{{2}^{3}}\times {{3}^{2}}={{6}^{5}}\]
C) \[{{2}^{3}}>{{3}^{2}}\]
D) \[{{p}^{0}}={{1000}^{0}}\]
View Answer play_arrowquestion_answer4) What is the value of \[(12\times {{3}^{0}}-8\times {{5}^{0}})\]?
A) \[\frac{1}{2}\]
B) \[2\]
C) \[4\]
D) \[\frac{1}{4}\]
View Answer play_arrowquestion_answer5) A Find the value of \[{{2}^{0}}+{{3}^{0}}+{{4}^{0}}\].
A) \[3\]
B) \[234\]
C) \[1\]
D) \[24\]
View Answer play_arrowquestion_answer6) What is the value of \[{{2}^{7}}\times {{5}^{3}}\]?
A) \[7500\]
B) \[16000\]
C) \[11200\]
D) \[14000\]
View Answer play_arrowquestion_answer7) Which of the following is the least?
| \[{{(-1)}^{3}},\,{{(-10)}^{3}},{{(1)}^{5}}\] and \[{{(-1)}^{4}}\] |
A) \[{{1}^{5}}\]
B) \[{{(-10)}^{3}}\]
C) \[{{(-1)}^{4}}\]
D) \[{{(-1)}^{3}}\]
View Answer play_arrowA) \[{{a}^{3}}{{c}^{3}}{{d}^{3}}\]
B) \[{{a}^{3}}{{c}^{3}}d\]
C) \[{{a}^{3}}{{c}^{3}}{{d}^{2}}\]
D) \[{{a}^{3}}{{c}^{4}}{{d}^{2}}\]
View Answer play_arrowquestion_answer9) \[{{(-11)}^{2}}\times {{(-11)}^{4}}={{(-11)}^{x}}.\]What is the value of x?
A) \[2\]
B) \[4\]
C) \[6\]
D) \[-2\]
View Answer play_arrowquestion_answer10) Which of the following statements is correct?
A) \[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{2}})}^{4}}\] are not the same.
B) \[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{4}})}^{2}}\] are the same.
C) \[{{({{7}^{50}})}^{2}}={{7}^{502}}\]
D) \[{{({{5}^{7}})}^{3}}={{5}^{73}}\]
View Answer play_arrowquestion_answer11) Evaluate \[{{\left( \frac{5}{6} \right)}^{5}}\] .
A) \[{{\left( \frac{6}{5} \right)}^{5}}\]
B) \[{{({{5}^{6}})}^{5}}\]
C) \[\frac{{{5}^{5}}}{{{6}^{5}}}\]
D) \[{{({{5}^{5}})}^{6}}\]
View Answer play_arrowquestion_answer12) Which of the following values are equal?
| (i) \[{{1}^{4}}\] (ii) \[{{4}^{0}}\] (iii) \[{{0}^{4}}\] (iv) \[{{4}^{1}}\] |
A) (i) and (ii)
B) (ii) and (iii)
C) (i) and (iii)
D) (i) and (iv)
View Answer play_arrowquestion_answer13) What is the sum of the powers of the prime factors in \[108\times 192\]?
A) \[5\]
B) \[7\]
C) \[8\]
D) \[12\]
View Answer play_arrowA) \[\frac{-{{2}^{3}}}{{{m}^{3}}}\]
B) \[{{\left( -\frac{2}{m} \right)}^{3}}\]
C) \[\frac{{{(-2)}^{3}}}{{{m}^{3}}}\]
D) \[-\left( \frac{2}{m} \right)\left( \frac{-2}{m} \right)\]
View Answer play_arrowA) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
View Answer play_arrowA) \[36\]
B) \[42\]
C) \[46\]
D) \[48\]
View Answer play_arrowA) \[{{2}^{5}}\times {{3}^{4}}\]
B) \[\frac{{{2}^{5}}\times {{3}^{3}}}{5}\]
C) \[\frac{{{2}^{6}}\times {{3}^{3}}}{{{5}^{3}}}\]
D) \[\frac{{{2}^{6}}\times {{3}^{3}}}{{{5}^{2}}}\]
View Answer play_arrowquestion_answer18) How is 65950 expressed in standard form?
A) \[6.59\text{ }x{{10}^{6}}\]
B) \[6.595\text{ }x{{10}^{5}}\]
C) \[6.595\text{ }x{{10}^{4}}\]
D) \[6.59\text{ }x{{10}^{5}}\]
View Answer play_arrowquestion_answer19) Express 15625 as a power of 5.
A) \[{{5}^{6}}\]
B) \[{{5}^{4}}\]
C) \[{{5}^{8}}\]
D) \[{{5}^{7}}\]
View Answer play_arrowquestion_answer20) Find the value of \[{{16}^{\frac{3}{4}}}\times {{4}^{\frac{-1}{2}}}.\]
A) \[8\]
B) \[1\]
C) 4
D) \[0\]
View Answer play_arrowquestion_answer21) Find the numerical value of \[{{(4096)}^{\frac{-3}{4}}}\].
A) \[1024\]
B) \[512\]
C) \[256\]
D) \[\frac{1}{512}\]
View Answer play_arrowA) \[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{1/3}}\]
B) \[\frac{1}{5}{{\left[ \frac{n}{{{m}^{2}}{{6}^{10}}} \right]}^{1/3}}\]
C) \[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{-10}}} \right]}^{1/3}}\]
D) \[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{2/3}}\]
View Answer play_arrowquestion_answer23) Solve \[{{9}^{4x}}\div {{3}^{2x}}=2187\].
A) \[x=\frac{6}{7}\]
B) \[x=\frac{-7}{6}\]
C) \[x=\frac{7}{6}\]
D) \[x=\frac{-6}{7}\]
View Answer play_arrowquestion_answer24) Simplify and leave the answer in exponent form.
| \[{{\left( \frac{6}{7} \right)}^{-2}}\times {{\left( \frac{7}{6} \right)}^{-2}}\] |
A) \[\frac{7}{6}\]
B) \[1\]
C) \[\frac{-6}{7}\]
D) \[\frac{6}{7}\]
View Answer play_arrowA) \[{{p}^{3}}{{q}^{4}}{{r}^{7}}\]
B) \[{{p}^{3}}{{q}^{4}}{{r}^{10}}\]
C) \[{{p}^{-9}}{{q}^{2}}{{r}^{-4}}\]
D) \[{{p}^{9}}{{q}^{-2}}{{r}^{4}}\]
View Answer play_arrowquestion_answer26) Find the numerical value of \[{{256}^{0.75}}\].
A) \[64\]
B) \[256\]
C) \[1\]
D) \[{{4}^{-3}}\]
View Answer play_arrowA) \[{{a}^{2m(n-2)}}\]
B) \[{{a}^{2m(2n-4)}}\]
C) \[{{a}^{-2m(n+2)}}\]
D) \[{{a}^{2m(n-4)}}\]
View Answer play_arrowA) \[120\,\,{{a}^{\frac{25}{4}}}\]
B) \[\frac{1}{120\,{{a}^{\frac{25}{4}}}}\]
C) \[24{{a}^{\frac{-25}{4}}}\]
D) \[24{{a}^{\frac{25}{4}}}\]
View Answer play_arrowA) \[{{6}^{5}}\,{{7}^{2}}\]
B) \[\frac{{{6}^{5}}}{{{7}^{2}}}\]
C) \[{{6}^{-5}}\,{{7}^{2}}\]
D) \[{{6}^{-5}}\,{{7}^{-2}}\]
View Answer play_arrowquestion_answer30) Solve \[{{9}^{2x}}=729.\]
A) \[x=\frac{3}{4}\]
B) \[x=\frac{2}{3}\]
C) \[x=\frac{5}{6}\]
D) \[x=\frac{3}{2}\]
View Answer play_arrowquestion_answer31) Find the value of x.
| \[{{({{5}^{3}})}^{x}}\times {{({{5}^{8}})}^{x}}={{5}^{72}}\] |
A) \[x=6\frac{6}{11}\]
B) \[x=9\]
C) \[x=6\]
D) \[x=8\]
View Answer play_arrowA) \[{{a}^{11}}{{b}^{18}}{{c}^{-15}}\]
B) \[{{a}^{11}}{{b}^{18}}{{c}^{15}}\]
C) \[{{a}^{-11}}{{b}^{-18}}{{c}^{15}}\]
D) \[{{a}^{-11}}{{b}^{18}}{{c}^{-15}}\]
View Answer play_arrowA) \[5.976\times {{10}^{24}}\,kg\]
B) \[5.976\times {{10}^{21}}\,kg\]
C) \[5976\times {{10}^{21}}\,kg\]
D) \[59.76\times {{10}^{23}}\,kg\]
View Answer play_arrowquestion_answer34) What is the simplified form of \[{{(-5xy)}^{4}}\div {{(-5xy)}^{2}}\]?
A) \[{{(-5xy)}^{6}}\]
B) \[{{(-5xy)}^{8}}\]
C) \[{{(-5xy)}^{4}}\]
D) \[{{(-5xy)}^{2}}\]
View Answer play_arrowquestion_answer35) Which of the following equals \[(-1)\]?
A) \[{{(3-2)}^{235}}\]
B) \[{{(-1)}^{47}}\]
C) Both [a] and [b]
D) Neither [a] nor [b]
View Answer play_arrowquestion_answer36) What is the simplified form of the product given?
| \[{{(-3p)}^{4}}{{(6q)}^{5}}{{(3r)}^{6}}\] |
A) \[{{(-3)}^{15}}{{2}^{5}}{{p}^{4}}{{q}^{5}}{{r}^{6}}\]
B) \[{{p}^{4}}\,{{q}^{5}}\,{{r}^{6}}\]
C) \[{{3}^{15}}\,{{2}^{5}}\,{{p}^{4}}\,{{q}^{5}}\,{{r}^{6}}\]
D) \[{{(-3)}^{15}}\,{{2}^{5}}\,{{p}^{4}}\,{{q}^{4}}\,{{r}^{4}}\]
View Answer play_arrowA) \[3.0\times {{10}^{8}}\,m{{s}^{-1}}\]
B) \[3.0\times {{10}^{10}}\,m{{s}^{-1}}\]
C) \[3.0\times {{10}^{6}}\,m{{s}^{-1}}\]
D) \[3.0\times {{10}^{12}}\,m{{s}^{-1}}\]
View Answer play_arrowquestion_answer38) Which is greater \[{{2}^{3}}\] or \[{{5}^{2}}\]?
A) Both are equal.
B) \[{{2}^{3}}\]
C) \[{{5}^{2}}\]
D) Cannot be determined.
View Answer play_arrowquestion_answer39) Solve \[{{({{9}^{5}})}^{x}}={{({{9}^{4}})}^{x}}\div {{9}^{2}}\].
A) \[x=4\]
B) \[x=-2\]
C) \[x=-3\]
D) \[x=2\]
View Answer play_arrowquestion_answer40) Simplify \[\frac{{{64}^{2x}}\div {{16}^{x}}}{{{128}^{x}}\times {{4}^{2x}}}\].
A) \[{{2}^{-3x}}\]
B) \[{{2}^{8x}}\]
C) \[{{2}^{3x}}\]
D) \[{{2}^{11x}}\]
View Answer play_arrow
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