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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 \cdot \frac{- 1}{3}}

3 \cdot \frac{- 1}{3} = - 1

= 2^{- 1}

Apply exponent rule:

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

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

= \frac{1}{2}

Popular Examples

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k^{2} - 64

6 - 3 (2 p - 4) = - 18

Frequently Asked Questions (FAQ)

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