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Popular >

simplify (x/2)^3(5x^6)

Solution

simplify

(\frac{x}{2})^{3} (5 x^{6})

Solution

\frac{5 x ^{9}}{8}

Solution steps

(\frac{x}{2})^{3} (5 x^{6})

Simplify

(\frac{x}{2})^{3} : \frac{x ^{3}}{8}

= \frac{x ^{3}}{8} \cdot 5 x^{6}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{3} \cdot 5 x ^{6}}{8}

Simplify

x^{3} x^{6} : x^{9}

= \frac{x ^{9} \cdot 5}{8}

= \frac{5 x ^{9}}{8}

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Frequently Asked Questions (FAQ)

What is (x/2)^3(5x^6) ?
The solution to (x/2)^3(5x^6) is (5x^9)/8