You visited us 10 times! Enjoying our articles? Unlock Full Access!

a^m / b^m = (a/b)^m

Question 4In ...

Question

Question 4

In the following question, out of the four options, only one is correct. Write the correct answer:

The value fo $\frac{1}{4^{- 2}}$ is
(a) 16
(b) 8
(c) $\frac{1}{8}$
(d) $\frac{1}{8}$

Open in App

Solution

Using law of eponents , $a^{- m} = \frac{1}{a^{m}} ∴ \frac{1}{4^{- 2}} = \frac{1}{\frac{1}{4^{2}}} = \frac{1}{\frac{1}{16}} = 1 \times 16 = 16$

Suggest Corrections

Similar questions

Question 6

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of ${(\frac{2}{5})}^{- 2}$ is
(a) $\frac{4}{5}$
(b) $\frac{4}{25}$
(c) $\frac{25}{4}$
(d) $\frac{5}{2}$

Question 23

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of $(7^{- 1} - 8^{- 1})^{- 1} - (3^{- 1} - 4^{- 1})^{- 1}$ :
(a) 44
(b) 56
(c) 68
(d) 12

Question 32

In the following question, out of the four options, only one is correct. Write the correct answer.

Cube of $- \frac{1}{2}$ is

(a) $\frac{1}{8}$

(b) $\frac{1}{16}$

(d) $- \frac{1}{16}$

Question 5

In the following question, out of the four options, only one is correct. Write the correct answer:

The value fo $3^{5} \div 3^{- 6}$ is :
(a) $3^{5}$
(b) $3^{- 6}$
(c) $3^{11}$
(d) $3^{- 11}$

Question 6

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of ${(\frac{2}{5})}^{- 2}$ is
(a) $\frac{4}{5}$
(b) $\frac{4}{25}$
(c) $\frac{25}{4}$
(d) $\frac{5}{2}$

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program