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Popular >

simplify 64^{(-2)/3}

Solution

simplify

6 4^{\frac{- 2}{3}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

6 4^{\frac{- 2}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{\frac{- 2}{3}}

Apply exponent rule:

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

= 4^{3 \cdot \frac{- 2}{3}}

3 \cdot \frac{- 2}{3} = - 2

= 4^{- 2}

Apply exponent rule:

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

4^{- 2} = \frac{1}{4 ^{2}}

= \frac{1}{4 ^{2}}

4^{2} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is 64^{(-2)/3} ?
The solution to 64^{(-2)/3} is 1/16