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Popular >

simplify (5^{-3})^2

Solution

simplify

(5^{- 3})^{2}

Solution

\frac{1}{15625}

+1

Decimal Notation

0.000064

Solution steps

(5^{- 3})^{2}

Apply exponent rule:

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

= 5^{- 3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 5^{- 6}

Apply exponent rule:

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

5^{- 6} = \frac{1}{5 ^{6}}

= \frac{1}{5 ^{6}}

5^{6} = 15625

= \frac{1}{15625}

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Frequently Asked Questions (FAQ)

What is (5^{-3})^2 ?
The solution to (5^{-3})^2 is 1/15625