What is (x^{-3}*y^3)^{-7} ?

The solution to (x^{-3}*y^3)^{-7} is (x^{21})/(y^{21)}

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simplify (x^{-3}*y^3)^{-7}

simplify

(x^{- 3} \cdot y^{3})^{- 7}

\frac{x ^{21}}{y ^{21}}

Solution steps

(x^{- 3} y^{3})^{- 7}

Apply exponent rule:

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

(x^{- 3} y^{3})^{- 7} = \frac{1}{( x ^{- 3} y ^{3} ) ^{7}}

= \frac{1}{( x ^{- 3} y ^{3} ) ^{7}}

Simplify

(x^{- 3} y^{3})^{7} : \frac{y ^{21}}{x ^{21}}

= \frac{1}{\frac{y ^{21}}{x ^{21}}}

Apply the fraction rule:

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

= \frac{x ^{21}}{y ^{21}}

\frac{3 uv - 12 u w}{3 u}

x (1 - x^{2})^{3} > 7 (1 - x^{2})^{3}

\frac{x ^{5} y ^{2}}{x ^{4} y ^{0}}

x^{2} - 9 x + 14

64 + 64

What is (x^{-3}*y^3)^{-7} ?
The solution to (x^{-3}*y^3)^{-7} is (x^{21})/(y^{21)}