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Popular >

simplify (x^2)^{-3}

Solution

simplify

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

Solution

\frac{1}{x ^{6}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

= x^{2 (- 3)}

2 (- 3) = - 6

= x^{- 6}

Apply exponent rule:

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

x^{- 6} = \frac{1}{x ^{6}}

= \frac{1}{x ^{6}}

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Frequently Asked Questions (FAQ)

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