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Popular >

simplify ((5^{-4})/(5^2))^3

Solution

simplify

(\frac{5 ^{- 4}}{5 ^{2}})^{3}

Solution

\frac{1}{3814697265625}

+1

Decimal Notation

2.62144 E - 13

Solution steps

(\frac{5 ^{- 4}}{5 ^{2}})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 5 ^{- 4} ) ^{3}}{( 5 ^{2} ) ^{3}}

(5^{- 4})^{3} = \frac{1}{244140625}

= \frac{\frac{1}{244140625}}{( 5 ^{2} ) ^{3}}

(5^{2})^{3} = 15625

= \frac{\frac{1}{244140625}}{15625}

\frac{\frac{1}{244140625}}{15625} = \frac{1}{3814697265625}

= \frac{1}{3814697265625}

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Frequently Asked Questions (FAQ)

What is ((5^{-4})/(5^2))^3 ?
The solution to ((5^{-4})/(5^2))^3 is 1/3814697265625