What is (10(x^3)^2)/(4x^5) ?

The solution to (10(x^3)^2)/(4x^5) is (5x)/2

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simplify (10(x^3)^2)/(4x^5)

simplify

\frac{10 ( x ^{3} ) ^{2}}{4 x ^{5}}

\frac{5 x}{2}

Solution steps

\frac{10 ( x ^{3} ) ^{2}}{4 x ^{5}}

Simplify

(x^{3})^{2} : x^{6}

= \frac{10 x ^{6}}{4 x ^{5}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5 x ^{6}}{4 x ^{5}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 5 x ^{6}}{2 \cdot 2 x ^{5}}

Cancel the common factor:

2

= \frac{5 x ^{6}}{2 x ^{5}}

Simplify

\frac{x ^{6}}{x ^{5}} : x

= \frac{5 x}{2}

x^{2} x^{8}

- \frac{3}{2} \cdot \frac{5}{9}

2 x + 3 x + 4 x

a (x - 1) - (a + 2) (x - 1)