What is ((3x^9)/(y^3))^{-5} ?

The solution to ((3x^9)/(y^3))^{-5} is (y^{15})/(243x^{45)}

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simplify ((3x^9)/(y^3))^{-5}

simplify

(\frac{3 x ^{9}}{y ^{3}})^{- 5}

\frac{y ^{15}}{243 x ^{45}}

Solution steps

(\frac{3 x ^{9}}{y ^{3}})^{- 5}

Apply exponent rule:

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

(\frac{3 x ^{9}}{y ^{3}})^{- 5} = \frac{1}{( \frac{3 x ^{9}}{y ^{3}} ) ^{5}}

= \frac{1}{( \frac{3 x ^{9}}{y ^{3}} ) ^{5}}

Simplify

(\frac{3 x ^{9}}{y ^{3}})^{5} : \frac{243 x ^{45}}{y ^{15}}

= \frac{1}{\frac{243 x ^{45}}{y ^{15}}}

Apply the fraction rule:

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

= \frac{y ^{15}}{243 x ^{45}}

2.1 a^{2} - 2.1 b^{2}

(x^{2} - 2) (x^{2} - 6)

1 - 2 cos^{2} (x) + cos^{4} (x)

\frac{1}{6} (30 x - 24 y) - \frac{1}{8} (32 x - 16 y)

3 \cdot 2 x

What is ((3x^9)/(y^3))^{-5} ?
The solution to ((3x^9)/(y^3))^{-5} is (y^{15})/(243x^{45)}