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

The solution to ((3x^{-4})^6)/(9x^{12)} is (81)/(x^{36)}

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

simplify

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

\frac{81}{x ^{36}}

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 ^{36}}

= \frac{81}{x ^{36}}

2 x^{2} + 14 x + 10

(x + 3)^{2} (x - 2)

7 f + 3 g - 5 f + 4 g

(25 + 7)^{2}

\frac{7}{6 x} + \frac{1}{x}

What is ((3x^{-4})^6)/(9x^{12)} ?
The solution to ((3x^{-4})^6)/(9x^{12)} is (81)/(x^{36)}