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Popular >

simplify (2^5)^{-3}

Solution

simplify

(2^{5})^{- 3}

Solution

\frac{1}{32768}

+1

Decimal Notation

0.00003 \dots

Solution steps

(2^{5})^{- 3}

Apply exponent rule:

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

= 2^{5 (- 3)}

5 (- 3) = - 15

= 2^{- 15}

Apply exponent rule:

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

2^{- 15} = \frac{1}{2 ^{15}}

= \frac{1}{2 ^{15}}

2^{15} = 32768

= \frac{1}{32768}

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Frequently Asked Questions (FAQ)

What is (2^5)^{-3} ?
The solution to (2^5)^{-3} is 1/32768