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Popular >

simplify (5^6)^{-5}

Solution

simplify

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

Solution

\frac{1}{5 ^{30}}

+1

Decimal Notation

1.07374 E - 21

Solution steps

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

Apply exponent rule:

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

= 5^{6 (- 5)}

6 (- 5) = - 30

= 5^{- 30}

Apply exponent rule:

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

5^{- 30} = \frac{1}{5 ^{30}}

= \frac{1}{5 ^{30}}

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Frequently Asked Questions (FAQ)

What is (5^6)^{-5} ?
The solution to (5^6)^{-5} is 1/(5^{30)}