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Popular >

simplify 32^{-1/5}

Solution

simplify

3 2^{- \frac{1}{5}}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

3 2^{- \frac{1}{5}}

Factor the number:

32 = 2^{5}

= (2^{5})^{- \frac{1}{5}}

Apply exponent rule:

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

= 2^{5 (- \frac{1}{5})}

5 (- \frac{1}{5}) = - 1

= 2^{- 1}

Apply exponent rule:

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

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

= \frac{1}{2}

Popular Examples

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\frac{- 12}{- 3}

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factor a^c*x^{2c}+a^c*x^c factor

a^{c} \cdot x^{2 c} + a^{c} \cdot x^{c}

simplify (1/5)^4 simplify

(\frac{1}{5})^{4}

Frequently Asked Questions (FAQ)

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