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Popular >

simplify (2^3)^{-2}

Solution

simplify

(2^{3})^{- 2}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

(2^{3})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{3 (- 2)}

3 (- 2) = - 6

= 2^{- 6}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

2^{- 6} = \frac{1}{2 ^{6}}

= \frac{1}{2 ^{6}}

2^{6} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is (2^3)^{-2} ?
The solution to (2^3)^{-2} is 1/64