What is (15(x^{-2})^3)/(3(x^{-4))^{-3}} ?

The solution to (15(x^{-2})^3)/(3(x^{-4))^{-3}} is 5/(x^{18)}

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simplify (15(x^{-2})^3)/(3(x^{-4))^{-3}}

simplify

\frac{15 ( x ^{- 2} ) ^{3}}{3 ( x ^{- 4} ) ^{- 3}}

\frac{5}{x ^{18}}

Solution steps

\frac{15 ( x ^{- 2} ) ^{3}}{3 ( x ^{- 4} ) ^{- 3}}

Simplify

\frac{15 ( x ^{- 2} ) ^{3}}{3 ( x ^{- 4} ) ^{- 3}} : \frac{15 \cdot \frac{1}{x ^{6}}}{3 x ^{12}}

= \frac{15 \cdot \frac{1}{x ^{6}}}{3 x ^{12}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 \cdot \frac{1}{x ^{6}}}{3 x ^{12}}

Cancel the common factor:

3

= \frac{5 \cdot \frac{1}{x ^{6}}}{x ^{12}}

Simplify

\frac{5 \cdot \frac{1}{x ^{6}}}{x ^{12}} : \frac{5}{x ^{18}}

= \frac{5}{x ^{18}}

20 t^{9}

2^{16}

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

\frac{5 x - 1}{x ^{2} + 2 x - 8} - \frac{6}{x + 4}

3 \frac{1}{4} - 2 \frac{1}{5} + \frac{11}{20}

What is (15(x^{-2})^3)/(3(x^{-4))^{-3}} ?
The solution to (15(x^{-2})^3)/(3(x^{-4))^{-3}} is 5/(x^{18)}