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Popular >

simplify (10b^6)/((5b^3)^3)

Solution

simplify

\frac{10 b ^{6}}{( 5 b ^{3} ) ^{3}}

Solution

\frac{2}{25 b ^{3}}

Solution steps

\frac{10 b ^{6}}{( 5 b ^{3} ) ^{3}}

Simplify

(5 b^{3})^{3} : 5^{3} b^{9}

= \frac{10 b ^{6}}{5 ^{3} b ^{9}}

Factor the number:

10 = 5 \cdot 2

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

\frac{5}{5 ^{3}} = \frac{1}{5 ^{2}}

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

Simplify

\frac{b ^{6}}{b ^{9}} : \frac{1}{b ^{3}}

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

5^{2} = 25

= \frac{2}{25 b ^{3}}

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Frequently Asked Questions (FAQ)

What is (10b^6)/((5b^3)^3) ?
The solution to (10b^6)/((5b^3)^3) is 2/(25b^3)