What is (3x^{-4}*y^{-6})^{-5} ?

The solution to (3x^{-4}*y^{-6})^{-5} is (x^{20}y^{30})/(243)

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simplify (3x^{-4}*y^{-6})^{-5}

simplify

(3 x^{- 4} \cdot y^{- 6})^{- 5}

\frac{x ^{20} y ^{30}}{243}

Solution steps

(3 x^{- 4} y^{- 6})^{- 5}

Apply exponent rule:

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

(3 x^{- 4} y^{- 6})^{- 5} = \frac{1}{( 3 x ^{- 4} y ^{- 6} ) ^{5}}

= \frac{1}{( 3 x ^{- 4} y ^{- 6} ) ^{5}}

Simplify

(3 x^{- 4} y^{- 6})^{5} : \frac{243}{x ^{20} y ^{30}}

= \frac{1}{\frac{243}{x ^{20} y ^{30}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{20} y ^{30}}{243}

(5 a - 4)^{3}

36 (2 x + 3)^{2}

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

2 x^{5} - 18 x^{3} + 40 x

(\frac{x + 9}{4})^{3}

What is (3x^{-4}*y^{-6})^{-5} ?
The solution to (3x^{-4}*y^{-6})^{-5} is (x^{20}y^{30})/(243)