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Popular >

simplify-8^{-1/3}

Solution

simplify

- 8^{- \frac{1}{3}}

Solution

- \frac{1}{2}

+1

Decimal Notation

- 0.5

Solution steps

- 8^{- \frac{1}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

3 (- \frac{1}{3}) = - 1

= - 2^{- 1}

Apply exponent rule:

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

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

= - \frac{1}{2}

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Frequently Asked Questions (FAQ)

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