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Popular >

simplify [(2^{-3})^4]^2

Solution

simplify

[(2^{- 3})^{4}]^{2}

Solution

\frac{1}{16777216}

+1

Decimal Notation

5.96046 E - 8

Solution steps

[(2^{- 3})^{4}]^{2}

(2^{- 3})^{4} : 2^{- 12}

= [2^{- 12}]^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2^{(- 12) \cdot 2}

(- 12) \cdot 2 = - 24

= 2^{- 24}

Apply exponent rule:

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

= \frac{1}{2 ^{24}}

2^{24} = 16777216

= \frac{1}{16777216}

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Frequently Asked Questions (FAQ)

What is [(2^{-3})^4]^2 ?
The solution to [(2^{-3})^4]^2 is 1/16777216