What is ((14x^2y)/(7xz))^{-3} ?

The solution to ((14x^2y)/(7xz))^{-3} is (z^3)/(8x^3y^3)

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simplify ((14x^2y)/(7xz))^{-3}

simplify

(\frac{14 x ^{2} y}{7 x z})^{- 3}

\frac{z ^{3}}{8 x ^{3} y ^{3}}

Solution steps

(\frac{14 x ^{2} y}{7 x z})^{- 3}

Apply exponent rule:

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

(\frac{14 x ^{2} y}{7 x z})^{- 3} = \frac{1}{( \frac{14 x ^{2} y}{7 x z} ) ^{3}}

= \frac{1}{( \frac{14 x ^{2} y}{7 x z} ) ^{3}}

Simplify

(\frac{14 x ^{2} y}{7 x z})^{3} : \frac{8 x ^{3} y ^{3}}{z ^{3}}

= \frac{1}{\frac{8 x ^{3} y ^{3}}{z ^{3}}}

Apply the fraction rule:

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

= \frac{z ^{3}}{8 x ^{3} y ^{3}}

\frac{1 8 ^{5}}{9 ^{5}}

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

\frac{2}{9} \cdot \frac{3}{4}

(5 x - 4) + (3 x - 6)

21 - 8 (v + 3) + 3 + 7 v

What is ((14x^2y)/(7xz))^{-3} ?
The solution to ((14x^2y)/(7xz))^{-3} is (z^3)/(8x^3y^3)