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Popular >

simplify (2^{-3})^4

Solution

simplify

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

Solution

\frac{1}{4096}

+1

Decimal Notation

0.00024 \dots

Solution steps

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

Apply exponent rule:

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

= 2^{- 3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 2^{- 12}

Apply exponent rule:

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

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

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

2^{12} = 4096

= \frac{1}{4096}

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Frequently Asked Questions (FAQ)

What is (2^{-3})^4 ?
The solution to (2^{-3})^4 is 1/4096