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Popular >

simplify (32)^{(-2)/5}

Solution

simplify

(32)^{\frac{- 2}{5}}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

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

Factor the number:

32 = 2^{5}

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

Apply exponent rule:

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

= 2^{5 \cdot \frac{- 2}{5}}

5 \cdot \frac{- 2}{5} = - 2

= 2^{- 2}

Apply exponent rule:

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

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

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

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is (32)^{(-2)/5} ?
The solution to (32)^{(-2)/5} is 1/4