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Popular >

simplify (10d^9)/((2d^2)^3)

Solution

simplify

\frac{10 d ^{9}}{( 2 d ^{2} ) ^{3}}

Solution

\frac{5 d ^{3}}{4}

Solution steps

\frac{10 d ^{9}}{( 2 d ^{2} ) ^{3}}

Simplify

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

= \frac{10 d ^{9}}{2 ^{3} d ^{6}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5 d ^{9}}{2 ^{3} d ^{6}}

\frac{2}{2 ^{3}} = \frac{1}{2 ^{2}}

= \frac{5 d ^{9}}{2 ^{2} d ^{6}}

Simplify

\frac{d ^{9}}{d ^{6}} : d^{3}

= \frac{5 d ^{3}}{2 ^{2}}

2^{2} = 4

= \frac{5 d ^{3}}{4}

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Frequently Asked Questions (FAQ)

What is (10d^9)/((2d^2)^3) ?
The solution to (10d^9)/((2d^2)^3) is (5d^3)/4