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Popular >

simplify (5^{-1})^3

Solution

simplify

(5^{- 1})^{3}

Solution

\frac{1}{125}

+1

Decimal Notation

0.008

Solution steps

(5^{- 1})^{3}

Apply exponent rule:

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

= 5^{- 1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= 5^{- 3}

Apply exponent rule:

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

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

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

5^{3} = 125

= \frac{1}{125}

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Frequently Asked Questions (FAQ)

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