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Popular >

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

Solution

simplify

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

Solution

\frac{1}{5 ^{36}}

+1

Decimal Notation

6.87195 E - 26

Solution steps

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

(5^{6})^{- 2} : 5^{- 12}

= (5^{- 12})^{3}

Apply exponent rule:

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

= 5^{(- 12) \cdot 3}

(- 12) \cdot 3 = - 36

= 5^{- 36}

Apply exponent rule:

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

= \frac{1}{5 ^{36}}

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Frequently Asked Questions (FAQ)

What is ((5^6)^{-2})^3 ?
The solution to ((5^6)^{-2})^3 is 1/(5^{36)}