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Popular >

simplify (5^3)^{-3}

Solution

simplify

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

Solution

\frac{1}{1953125}

+1

Decimal Notation

0.000000512

Solution steps

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

Apply exponent rule:

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

= 5^{3 (- 3)}

3 (- 3) = - 9

= 5^{- 9}

Apply exponent rule:

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

5^{- 9} = \frac{1}{5 ^{9}}

= \frac{1}{5 ^{9}}

5^{9} = 1953125

= \frac{1}{1953125}

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Frequently Asked Questions (FAQ)

What is (5^3)^{-3} ?
The solution to (5^3)^{-3} is 1/1953125