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Popular >

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

Solution

simplify

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

Solution

\frac{1}{3 ^{30}}

+1

Solution steps

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

((- 3)^{2})^{- 5} : (- 3)^{- 10}

= ((- 3)^{- 10})^{3}

(- 3)^{- 10} = \frac{1}{3 ^{10}}

= (\frac{1}{3 ^{10}})^{3}

Apply exponent rule:

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

= \frac{1 ^{3}}{( 3 ^{10} ) ^{3}}

(3^{10})^{3} : 3^{30}

= \frac{1 ^{3}}{3 ^{30}}

Apply rule

1^{a} = 1

1^{3} = 1

= \frac{1}{3 ^{30}}

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Frequently Asked Questions (FAQ)

What is (((-3)^2)^{-5})^3 ?
The solution to (((-3)^2)^{-5})^3 is 1/(3^{30)}