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Popular >

simplify (32)^{-4/5}

Solution

simplify

(32)^{- \frac{4}{5}}

Solution

\frac{1}{16}

+1

Solution steps

3 2^{- \frac{4}{5}}

Factor the number:

32 = 2^{5}

= (2^{5})^{- \frac{4}{5}}

Apply exponent rule:

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

= 2^{5 (- \frac{4}{5})}

5 (- \frac{4}{5}) = - 4

= 2^{- 4}

Apply exponent rule:

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

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

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

2^{4} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (32)^{-4/5} ?
The solution to (32)^{-4/5} is 1/16