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Popular >

simplify (12y^9)/((3y^2)^5)

Solution

simplify

\frac{12 y ^{9}}{( 3 y ^{2} ) ^{5}}

Solution

\frac{4}{81 y}

Solution steps

\frac{12 y ^{9}}{( 3 y ^{2} ) ^{5}}

Simplify

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

= \frac{12 y ^{9}}{3 ^{5} y ^{10}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 y ^{9}}{3 ^{5} y ^{10}}

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

= \frac{4 y ^{9}}{3 ^{4} y ^{10}}

Simplify

\frac{y ^{9}}{y ^{10}} : \frac{1}{y}

= \frac{4}{3 ^{4} y}

3^{4} = 81

= \frac{4}{81 y}

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Frequently Asked Questions (FAQ)

What is (12y^9)/((3y^2)^5) ?
The solution to (12y^9)/((3y^2)^5) is 4/(81y)