What is ((3x^{-4})^6)/(9x^{-12)} ?

The solution to ((3x^{-4})^6)/(9x^{-12)} is (81)/(x^{12)}

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simplify ((3x^{-4})^6)/(9x^{-12)}

simplify

\frac{( 3 x ^{- 4} ) ^{6}}{9 x ^{- 12}}

\frac{81}{x ^{12}}

Solution steps

\frac{( 3 x ^{- 4} ) ^{6}}{9 x ^{- 12}}

Simplify

(3 x^{- 4})^{6} : 3^{6} \cdot \frac{1}{x ^{24}}

= \frac{3 ^{6} \cdot \frac{1}{x ^{24}}}{9 x ^{- 12}}

Factor the number:

9 = 3^{2}

= \frac{3 ^{6} \cdot \frac{1}{x ^{24}}}{3 ^{2} x ^{- 12}}

\frac{3 ^{6}}{3 ^{2}} = 3^{4}

= \frac{3 ^{4} \cdot \frac{1}{x ^{24}}}{x ^{- 12}}

Simplify

\frac{3 ^{4} \cdot \frac{1}{x ^{24}}}{x ^{- 12}} : \frac{81}{x ^{12}}

= \frac{81}{x ^{12}}

4 \cdot \frac{4}{5}

\frac{cos ( 3 x )}{cos ( 2 x )}

\frac{6}{9} - \frac{6}{15}

- 11 a - 13 b + 7 a - 3 b

(- 6) + 12

What is ((3x^{-4})^6)/(9x^{-12)} ?
The solution to ((3x^{-4})^6)/(9x^{-12)} is (81)/(x^{12)}