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Powers with Negative Exponents

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Question

Question 3

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

$3^{- 2}$ can be written as:
(a) $3^{2}$
(b) $\frac{1}{3^{2}}$
(c) $\frac{1}{3^{- 2}}$
(d) $- \frac{2}{2}$

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Solution

Using law of exponents $a^{- m} = \frac{1}{a^{m}}$
So we can write $3^{- 2} a s \frac{1}{3^{2}}$

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Similar questions

Question 9

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

The value of $(- 2)^{2 \times 3 - 1}$ is :
(a) 32
(b) 64
(c) -32
(d) -64

Question 3

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

If 8x-3=25+17x, then x is:

(a) a fraction

(b) an integer

(d) cannot be solved

Question 7

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

The reciprocal of ${(\frac{2}{5})}^{- 1}$ is:
(a) $\frac{2}{5}$

(b) $\frac{5}{2}$

(c) $- \frac{5}{2}$

(d) $- \frac{2}{5}$

Question 11

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

The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is :

(a) $\frac{4}{5}$

(b) $\frac{1}{15}$

(d) 0

Question 12

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

If $\frac{- 4}{3} y = - \frac{3}{4},$ then y is equal to:

(a) ${(\frac{- 3}{4})}^{2}$

(b) ${(\frac{- 4}{3})}^{2}$

(d) ${(\frac{4}{3})}^{2}$

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