# 7th Class Mathematics Exponents and Power Question Bank

### done Exponents and Powers

• A) ${{2}^{5}}$

B) ${{2}^{12}}$

C) 281

D) 216

• A) 2

B) 0

C) 1

D) $-1$

• A) $\frac{19}{64}$

B) $\frac{64}{19}$

C) $\frac{27}{16}$

D) $\frac{16}{27}$

• A) $-2{{(8)}^{5}}$

B) $-{{(2)}^{16}}$

C) $-{{(4)}^{8}}$

D) All of these

• A) $\frac{-1}{2}$

B) $-2$

C) $2$

D) $\frac{1}{2}$

• A) ${{a}^{-1}}\times b$

B) $a\times {{b}^{-1}}$

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

D) $ab$

• A) $\frac{3}{8}$

B) $\frac{-3}{8}$

C) $\frac{8}{3}$

D) $\frac{-8}{3}$

• A)

 Exponent Base Value 34 3 87

B)

 Exponent Base Value 25 5 32

C)

 Exponent Base Value 43 4 64

D)

 Exponent Base Value 52 5 125

• A) 1

B) $\frac{-5}{2}$

C) $\frac{-5}{4}$

D) $\frac{-1}{2}$

• A) $0.00000077$

B) $0.0000077$

C) $0.000077$

D) $0.00077$

• A) $-1$

B) 0

C) 1

D) 2

• A) $-\frac{4}{5}$

B) $-\frac{3}{5}$

C) $-\frac{1}{5}$

D) $-\frac{5}{4}$

• A) ${{2}^{6}}\times {{3}^{16}}\times {{5}^{12}}$

B) ${{3}^{17}}\times {{5}^{16}}\times {{7}^{5}}$

C) ${{2}^{6}}\times {{5}^{16}}\times {{7}^{12}}$

D) ${{2}^{7}}\times {{3}^{17}}\times {{7}^{5}}$

• A) 1825

B) 1840

C) 1844

D) 1850

• A) $-\frac{9}{64}$

B) $\frac{9}{64}$

C) $\frac{64}{9}$

D) $-\frac{64}{9}$

• A) 215

B) 164

C) 29

D) None of these

• A) $40\times {{10}^{8}}$

B) 40000

C) $4.0\times {{10}^{14}}$

D) $4.0\times {{10}^{12}}$

• A) $(2.476\times {{10}^{9}})\,km$

B) $(2.8765\times {{10}^{9}})\,km$

C) $(2.876\times {{10}^{8}})\,km$

D) None of these

• A) $(292\times {{10}^{6}})km$

B) $(2.92\times {{10}^{6}})km$

C) $(292\times {{10}^{5}})km$

D) $(2.92\times {{10}^{4}})\,m$

• A) Aryan

B) Ayan

C) Both of them

D) None of these

•  Column-l Column-II (P) $\left[ {{({{5}^{3}})}^{2}}\times {{5}^{5}} \right]\div {{5}^{9}}$ (i) ${{(-6)}^{3}}$ (Q) ${{(-6)}^{5}}\div {{(6)}^{2}}$ (ii) 2 (R) $({{5}^{0}}+{{3}^{0}})\div ({{8}^{0}})$ (iii) 1 (S) ${{(7/19)}^{0}}$ (iv) 25

A) (P)$\to$(i), (Q)$\to$(ii), (R)$\to$(iii), (S)$\to$(iv)

B) (P)$\to$(ii), (Q)$\to$(iii), (r)$\to$(iv), (S)$\to$(i)

C) (P)$\to$(iv), (Q)$\to$(i). (R)$\to$(ii), (S)$\to$(iii)

D) (P)$\to$(iv), (Q)$\to$(ii), (R)$\to$(i), (S)$\to$(iii)

•  I. ${{({{3}^{2}})}^{3}}$ II. ${{({{8}^{4}})}^{\frac{1}{2}}}$ III. ${{({{3}^{1/3}})}^{9}}$

A)

 I II III > < =

B)

 I II III < = >

C)

 I II III < > >

D)

 I II III < > >

•  Statement 1: $x={{\left[ \frac{2}{3} \right]}^{4}}\div {{\left[ \frac{2}{3} \right]}^{2}},$ then value of ${{x}^{2}}+2x+3$is 0. Statement 2: If ${{\left[ -\frac{1}{2} \right]}^{4}}\times {{(-2)}^{8}}={{(-2)}^{4x}}$ then$x=1$.

A) Only Statement-1

B) Only Statement-2

C) Both Statement-1 and Statement-2

D) Neither Statement-1 nor Statement-2

•  (P) If x and y are non-zero rational numbers and m is a positive integer, then ${{x}^{m}}\times {{y}^{m}}={{(xy)}^{2m}}$ and ${{x}^{m}}\div {{y}^{m}}={{\left( \frac{x}{y} \right)}^{1}}.$ (Q) Standard form of 38000000 is$3.8\times {{10}^{7}}$. (R) The base and power in ${{(-16\times 2)}^{4}}$is $-32$ and 4 respectively. (S) ${{6}^{2}}$ is greater than ${{2}^{6}}$.

A)

 (P) (Q) (R) (S) T F F T

B)

 (P) (Q) (R) (S) F T T F

C)

 (P) (Q) (R) (S) F T F T

D)

 (P) (Q) (R) (S) T F T F

•  (i) A number is said to be in the ___ form. if it is expressed as the product of a number between 1 and 10 and the integral power of 10. (ii) ${{2}^{0}}\times {{3}^{0}}+{{1}^{0}}\times 3=\_\_\_$ (iii) $\left( {{\left( {{2}^{2}} \right)}^{2}}\times {{7}^{2}} \right)\div \left( {{8}^{3}}\times 7 \right)=\_\_\_\_\_\_\_\_\_.$

A)

 (i) (ii) (iii) Standard 4 $7\times {{2}^{-5}}$

B)

 (i) (ii) (iii) Exponential 4 $7\times {{2}^{-4}}$

C)

 (i) (ii) (iii) Exponential 2 $7\times {{2}^{5}}$

D)

 (i) (ii) (iii) Standard 2 $7\times {{2}^{4}}$