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Popular >

simplify (20y^2)/((4y^5)^4)

Solution

simplify

\frac{20 y ^{2}}{( 4 y ^{5} ) ^{4}}

Solution

\frac{5}{64 y ^{18}}

Solution steps

\frac{20 y ^{2}}{( 4 y ^{5} ) ^{4}}

Simplify

(4 y^{5})^{4} : 4^{4} y^{20}

= \frac{20 y ^{2}}{4 ^{4} y ^{20}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 5 y ^{2}}{4 ^{4} y ^{20}}

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

= \frac{5 y ^{2}}{4 ^{3} y ^{20}}

Simplify

\frac{y ^{2}}{y ^{20}} : \frac{1}{y ^{18}}

= \frac{5}{4 ^{3} y ^{18}}

4^{3} = 64

= \frac{5}{64 y ^{18}}

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Frequently Asked Questions (FAQ)

What is (20y^2)/((4y^5)^4) ?
The solution to (20y^2)/((4y^5)^4) is 5/(64y^{18)}