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Popular >

simplify (2^{-1})^3

Solution

simplify

(2^{- 1})^{3}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

(2^{- 1})^{3}

Apply exponent rule:

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

= 2^{- 1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= 2^{- 3}

Apply exponent rule:

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

2^{- 3} = \frac{1}{2 ^{3}}

= \frac{1}{2 ^{3}}

2^{3} = 8

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is (2^{-1})^3 ?
The solution to (2^{-1})^3 is 1/8