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Popular >

simplify 64^{(-4)/3}

Solution

simplify

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

Solution

\frac{1}{256}

+1

Solution steps

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

Factor the number:

64 = 4^{3}

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

Apply exponent rule:

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

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

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

= 4^{- 4}

Apply exponent rule:

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

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

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

4^{4} = 256

= \frac{1}{256}

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Frequently Asked Questions (FAQ)

What is 64^{(-4)/3} ?
The solution to 64^{(-4)/3} is 1/256