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Popular >

simplify 125^{(-1)/3}

Solution

simplify

12 5^{\frac{- 1}{3}}

Solution

\frac{1}{5}

+1

Decimal Notation

0.2

Solution steps

12 5^{\frac{- 1}{3}}

Factor the number:

125 = 5^{3}

= (5^{3})^{\frac{- 1}{3}}

Apply exponent rule:

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

= 5^{3 \cdot \frac{- 1}{3}}

3 \cdot \frac{- 1}{3} = - 1

= 5^{- 1}

Apply exponent rule:

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

5^{- 1} = \frac{1}{5}

= \frac{1}{5}

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1/3 \times (5/3+2/5)

\frac{1}{3} \times (\frac{5}{3} + \frac{2}{5})

Frequently Asked Questions (FAQ)

What is 125^{(-1)/3} ?
The solution to 125^{(-1)/3} is 1/5