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Popular >

simplify 64^{-1/3}

Solution

simplify

6 4^{- \frac{1}{3}}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

6 4^{- \frac{1}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{- \frac{1}{3}}

Apply exponent rule:

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

= 4^{3 (- \frac{1}{3})}

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

= 4^{- 1}

Apply exponent rule:

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

4^{- 1} = \frac{1}{4}

= \frac{1}{4}

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simplify 3/4 (-8)^{4/3}simplify

\frac{3}{4} (- 8)^{\frac{4}{3}}

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\frac{12}{5} + \frac{3}{4} + \frac{2}{3}

simplify (5^9)/(5^6)simplify

\frac{5 ^{9}}{5 ^{6}}

Frequently Asked Questions (FAQ)

What is 64^{-1/3} ?
The solution to 64^{-1/3} is 1/4