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Popular >

simplify (12q^3)/((3q^2)^5)

Solution

simplify

\frac{12 q ^{3}}{( 3 q ^{2} ) ^{5}}

Solution

\frac{4}{81 q ^{7}}

Solution steps

\frac{12 q ^{3}}{( 3 q ^{2} ) ^{5}}

Simplify

(3 q^{2})^{5} : 3^{5} q^{10}

= \frac{12 q ^{3}}{3 ^{5} q ^{10}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 q ^{3}}{3 ^{5} q ^{10}}

\frac{3}{3 ^{5}} = \frac{1}{3 ^{4}}

= \frac{4 q ^{3}}{3 ^{4} q ^{10}}

Simplify

\frac{q ^{3}}{q ^{10}} : \frac{1}{q ^{7}}

= \frac{4}{3 ^{4} q ^{7}}

3^{4} = 81

= \frac{4}{81 q ^{7}}

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Frequently Asked Questions (FAQ)

What is (12q^3)/((3q^2)^5) ?
The solution to (12q^3)/((3q^2)^5) is 4/(81q^7)