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Popular >

simplify (6x^{-2}y^{-3})^3

Solution

simplify

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

Solution

\frac{216}{x ^{6} y ^{9}}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(6 x^{- 2} y^{- 3})^{3} = 6^{3} (x^{- 2})^{3} (y^{- 3})^{3}

= 6^{3} (x^{- 2})^{3} (y^{- 3})^{3}

6^{3} = 216

= 216 (x^{- 2})^{3} (y^{- 3})^{3}

Simplify

(x^{- 2})^{3} : \frac{1}{x ^{6}}

= 216 \cdot \frac{1}{x ^{6}} (y^{- 3})^{3}

Simplify

(y^{- 3})^{3} : \frac{1}{y ^{9}}

= 216 \cdot \frac{1}{x ^{6}} \cdot \frac{1}{y ^{9}}

Simplify

216 \cdot \frac{1}{x ^{6}} \cdot \frac{1}{y ^{9}} : \frac{216}{x ^{6} y ^{9}}

= \frac{216}{x ^{6} y ^{9}}

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Frequently Asked Questions (FAQ)

What is (6x^{-2}y^{-3})^3 ?
The solution to (6x^{-2}y^{-3})^3 is (216)/(x^6y^9)