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Popular >

simplify 5^2(-10)^{-4}

Solution

simplify

5^{2} (- 10)^{- 4}

Solution

\frac{1}{400}

+1

Decimal Notation

0.0025

Solution steps

5^{2} (- 10)^{- 4}

5^{2} = 25

= 25 (- 10)^{- 4}

Apply exponent rule:

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

(- 10)^{- 4} = \frac{1}{( - 10 ) ^{4}}

= 25 \cdot \frac{1}{( - 10 ) ^{4}}

(- 10)^{4} = 10000

= 25 \cdot \frac{1}{10000}

25 \cdot \frac{1}{10000} = \frac{1}{400}

= \frac{1}{400}

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Frequently Asked Questions (FAQ)

What is 5^2(-10)^{-4} ?
The solution to 5^2(-10)^{-4} is 1/400