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

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

x^{21} y^{21}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{x ^{- 3}}{y ^{3}})^{7} : \frac{1}{x ^{21} y ^{21}}

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

Simplify

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

= x^{21} y^{21}

(3 x^{2})^{- 3} \cdot (x^{9})^{\frac{2}{3}}

48 x - 51 y

(4 b + 8) + (7 b + 3)

- 4 (3 x^{- 2} y^{4})^{- 1}

y \cdot z^{2} \cdot x^{2} + x^{2} \cdot y^{2} \cdot z + x^{2} \cdot y + x^{2} \cdot z

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