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Popular >

simplify 32^{(-4)/5}

Solution

simplify

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

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

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 \cdot \frac{- 4}{5}}

5 \cdot \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