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Popular >

simplify [(x^2y^3)^3]^{-4}

Solution

simplify

[(x^{2} y^{3})^{3}]^{- 4}

Solution

\frac{1}{x ^{24} y ^{36}}

Solution steps

((x^{2} y^{3})^{3})^{- 4}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} y^{3})^{3 (- 4)}

3 (- 4) = - 12

= (x^{2} y^{3})^{- 12}

Apply exponent rule:

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

(x^{2} y^{3})^{- 12} = \frac{1}{( x ^{2} y ^{3} ) ^{12}}

= \frac{1}{( x ^{2} y ^{3} ) ^{12}}

Simplify

(x^{2} y^{3})^{12} : x^{24} y^{36}

= \frac{1}{x ^{24} y ^{36}}

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Frequently Asked Questions (FAQ)

What is [(x^2y^3)^3]^{-4} ?
The solution to [(x^2y^3)^3]^{-4} is 1/(x^{24)y^{36}}