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Popular >

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

Solution

simplify

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

Solution

\frac{1}{5 ^{24}}

+1

Decimal Notation

1.67772 E - 17

Solution steps

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

(5^{- 2})^{3} : 5^{- 6}

= (5^{- 6})^{4}

Apply exponent rule:

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

= 5^{(- 6) \cdot 4}

(- 6) \cdot 4 = - 24

= 5^{- 24}

Apply exponent rule:

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

= \frac{1}{5 ^{24}}

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Frequently Asked Questions (FAQ)

What is ((5^{-2})^3)^4 ?
The solution to ((5^{-2})^3)^4 is 1/(5^{24)}