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Popular >

simplify (x^7y^{-9})^6

Solution

simplify

(x^{7} y^{- 9})^{6}

Solution

\frac{x ^{42}}{y ^{54}}

Solution steps

(x^{7} y^{- 9})^{6}

Apply exponent rule:

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

(x^{7} y^{- 9})^{6} = (x^{7})^{6} (y^{- 9})^{6}

= (x^{7})^{6} (y^{- 9})^{6}

Simplify

(x^{7})^{6} : x^{42}

= x^{42} (y^{- 9})^{6}

Simplify

(y^{- 9})^{6} : \frac{1}{y ^{54}}

= x^{42} \frac{1}{y ^{54}}

Simplify

x^{42} \frac{1}{y ^{54}} : \frac{x ^{42}}{y ^{54}}

= \frac{x ^{42}}{y ^{54}}

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Frequently Asked Questions (FAQ)

What is (x^7y^{-9})^6 ?
The solution to (x^7y^{-9})^6 is (x^{42})/(y^{54)}