What is (4(x^5)^3)/(12x^9) ?

The solution to (4(x^5)^3)/(12x^9) is (x^6)/3

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simplify (4(x^5)^3)/(12x^9)

simplify

\frac{4 ( x ^{5} ) ^{3}}{12 x ^{9}}

\frac{x ^{6}}{3}

Solution steps

\frac{4 ( x ^{5} ) ^{3}}{12 x ^{9}}

Simplify

(x^{5})^{3} : x^{15}

= \frac{4 x ^{15}}{12 x ^{9}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 x ^{15}}{4 \cdot 3 x ^{9}}

Cancel the common factor:

4

= \frac{x ^{15}}{3 x ^{9}}

Simplify

\frac{x ^{15}}{x ^{9}} : x^{6}

= \frac{x ^{6}}{3}

(3 x - 1) (x - 2)

\frac{10 3}{3}

- 1^{- 3}

(x) (x + 1)

1 \cdot 3