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Popular >

simplify (-25)^{-4}*(5^{-3})^{-2}

Solution

simplify

(- 25)^{- 4} \cdot (5^{- 3})^{- 2}

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

(- 25)^{- 4} (5^{- 3})^{- 2}

(- 25)^{- 4} = \frac{1}{390625}

= \frac{1}{390625} (5^{- 3})^{- 2}

Apply exponent rule:

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

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

= \frac{1}{390625} \cdot 5^{- 3 (- 2)}

- 3 (- 2) = 6

= \frac{1}{390625} \cdot 5^{6}

5^{6} = 15625

= \frac{1}{390625} \cdot 15625

\frac{1}{390625} \cdot 15625 = \frac{1}{25}

= \frac{1}{25}

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Frequently Asked Questions (FAQ)

What is (-25)^{-4}*(5^{-3})^{-2} ?
The solution to (-25)^{-4}*(5^{-3})^{-2} is 1/25