# 7th Class Mathematics Exponents and Power Question Bank

### done Exponents and Powers

• A) $25$

B) $0$

C) $-25$

D) $1$

• A) $\frac{9}{2}$

B) $\frac{2}{9}$

C) ${{\left( \frac{2}{3} \right)}^{8}}$

D) $\frac{27}{8}$

• A) $10\times {{10}^{11}}={{100}^{11}}$

B) ${{2}^{3}}\times {{3}^{2}}={{6}^{5}}$

C) ${{2}^{3}}>{{3}^{2}}$

D) ${{p}^{0}}={{1000}^{0}}$

• A) $\frac{1}{2}$

B) $2$

C) $4$

D) $\frac{1}{4}$

• A) $3$

B) $234$

C) $1$

D) $24$

• A) $7500$

B) $16000$

C) $11200$

D) $14000$

•  ${{(-1)}^{3}},\,{{(-10)}^{3}},{{(1)}^{5}}$ and ${{(-1)}^{4}}$

A) ${{1}^{5}}$

B) ${{(-10)}^{3}}$

C) ${{(-1)}^{4}}$

D) ${{(-1)}^{3}}$

• A) ${{a}^{3}}{{c}^{3}}{{d}^{3}}$

B) ${{a}^{3}}{{c}^{3}}d$

C) ${{a}^{3}}{{c}^{3}}{{d}^{2}}$

D) ${{a}^{3}}{{c}^{4}}{{d}^{2}}$

• A) $2$

B) $4$

C) $6$

D) $-2$

• 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) ${{({{5}^{7}})}^{3}}={{5}^{73}}$

• A) ${{\left( \frac{6}{5} \right)}^{5}}$

B) ${{({{5}^{6}})}^{5}}$

C) $\frac{{{5}^{5}}}{{{6}^{5}}}$

D) ${{({{5}^{5}})}^{6}}$

•  (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)

• A) $5$

B) $7$

C) $8$

D) $12$

• A) $\frac{-{{2}^{3}}}{{{m}^{3}}}$

B) ${{\left( -\frac{2}{m} \right)}^{3}}$

C) $\frac{{{(-2)}^{3}}}{{{m}^{3}}}$

D) $-\left( \frac{2}{m} \right)\left( \frac{-2}{m} \right)$

• A) $1$

B) $2$

C) $3$

D) $4$

• A) $36$

B) $42$

C) $46$

D) $48$

• A) ${{2}^{5}}\times {{3}^{4}}$

B) $\frac{{{2}^{5}}\times {{3}^{3}}}{5}$

C) $\frac{{{2}^{6}}\times {{3}^{3}}}{{{5}^{3}}}$

D) $\frac{{{2}^{6}}\times {{3}^{3}}}{{{5}^{2}}}$

• A) $6.59\text{ }x{{10}^{6}}$

B) $6.595\text{ }x{{10}^{5}}$

C) $6.595\text{ }x{{10}^{4}}$

D) $6.59\text{ }x{{10}^{5}}$

• A) ${{5}^{6}}$

B) ${{5}^{4}}$

C) ${{5}^{8}}$

D) ${{5}^{7}}$

• A) $8$

B) $1$

C) 4

D) $0$

• A) $1024$

B) $512$

C) $256$

D) $\frac{1}{512}$

• A) $\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{1/3}}$

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) $\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{2/3}}$

• A) $x=\frac{6}{7}$

B) $x=\frac{-7}{6}$

C) $x=\frac{7}{6}$

D) $x=\frac{-6}{7}$

•  ${{\left( \frac{6}{7} \right)}^{-2}}\times {{\left( \frac{7}{6} \right)}^{-2}}$

A) $\frac{7}{6}$

B) $1$

C) $\frac{-6}{7}$

D) $\frac{6}{7}$

• A) ${{p}^{3}}{{q}^{4}}{{r}^{7}}$

B) ${{p}^{3}}{{q}^{4}}{{r}^{10}}$

C) ${{p}^{-9}}{{q}^{2}}{{r}^{-4}}$

D) ${{p}^{9}}{{q}^{-2}}{{r}^{4}}$

• A) $64$

B) $256$

C) $1$

D) ${{4}^{-3}}$

• A) ${{a}^{2m(n-2)}}$

B) ${{a}^{2m(2n-4)}}$

C) ${{a}^{-2m(n+2)}}$

D) ${{a}^{2m(n-4)}}$

• A) $120\,\,{{a}^{\frac{25}{4}}}$

B) $\frac{1}{120\,{{a}^{\frac{25}{4}}}}$

C) $24{{a}^{\frac{-25}{4}}}$

D) $24{{a}^{\frac{25}{4}}}$

• A) ${{6}^{5}}\,{{7}^{2}}$

B) $\frac{{{6}^{5}}}{{{7}^{2}}}$

C) ${{6}^{-5}}\,{{7}^{2}}$

D) ${{6}^{-5}}\,{{7}^{-2}}$

• A) $x=\frac{3}{4}$

B) $x=\frac{2}{3}$

C) $x=\frac{5}{6}$

D) $x=\frac{3}{2}$

•  ${{({{5}^{3}})}^{x}}\times {{({{5}^{8}})}^{x}}={{5}^{72}}$

A) $x=6\frac{6}{11}$

B) $x=9$

C) $x=6$

D) $x=8$

• A) ${{a}^{11}}{{b}^{18}}{{c}^{-15}}$

B) ${{a}^{11}}{{b}^{18}}{{c}^{15}}$

C) ${{a}^{-11}}{{b}^{-18}}{{c}^{15}}$

D) ${{a}^{-11}}{{b}^{18}}{{c}^{-15}}$

• A) $5.976\times {{10}^{24}}\,kg$

B) $5.976\times {{10}^{21}}\,kg$

C) $5976\times {{10}^{21}}\,kg$

D) $59.76\times {{10}^{23}}\,kg$

• A) ${{(-5xy)}^{6}}$

B) ${{(-5xy)}^{8}}$

C) ${{(-5xy)}^{4}}$

D) ${{(-5xy)}^{2}}$

• A) ${{(3-2)}^{235}}$

B) ${{(-1)}^{47}}$

C) Both [a] and [b]

D) Neither [a] nor [b]

•  ${{(-3p)}^{4}}{{(6q)}^{5}}{{(3r)}^{6}}$

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) ${{(-3)}^{15}}\,{{2}^{5}}\,{{p}^{4}}\,{{q}^{4}}\,{{r}^{4}}$

• A) $3.0\times {{10}^{8}}\,m{{s}^{-1}}$

B) $3.0\times {{10}^{10}}\,m{{s}^{-1}}$

C) $3.0\times {{10}^{6}}\,m{{s}^{-1}}$

D) $3.0\times {{10}^{12}}\,m{{s}^{-1}}$

• A) Both are equal.

B) ${{2}^{3}}$

C) ${{5}^{2}}$

D) Cannot be determined.

• A) $x=4$

B) $x=-2$

C) $x=-3$

D) $x=2$

• A) ${{2}^{-3x}}$

B) ${{2}^{8x}}$

C) ${{2}^{3x}}$

D) ${{2}^{11x}}$