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Popular >

simplify [(2^2)^3]^{-2}

Solution

simplify

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

Solution

\frac{1}{4096}

+1

Decimal Notation

0.00024 \dots

Solution steps

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

(2^{2})^{3} : 2^{6}

= [2^{6}]^{- 2}

Apply exponent rule:

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

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

(2^{6})^{2} : 2^{12}

= \frac{1}{2 ^{12}}

2^{12} = 4096

= \frac{1}{4096}

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Frequently Asked Questions (FAQ)

What is [(2^2)^3]^{-2} ?
The solution to [(2^2)^3]^{-2} is 1/4096