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Popular >

simplify (5^{-3})^4

Solution

simplify

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

Solution

\frac{1}{244140625}

+1

Decimal Notation

4.096 E - 9

Solution steps

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

Apply exponent rule:

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

= 5^{- 3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 5^{- 12}

Apply exponent rule:

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

5^{- 12} = \frac{1}{5 ^{12}}

= \frac{1}{5 ^{12}}

5^{12} = 244140625

= \frac{1}{244140625}

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Frequently Asked Questions (FAQ)

What is (5^{-3})^4 ?
The solution to (5^{-3})^4 is 1/244140625