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Popular >

simplify (10a^2)/((2a^4)^2)

Solution

simplify

\frac{10 a ^{2}}{( 2 a ^{4} ) ^{2}}

Solution

\frac{5}{2 a ^{6}}

Solution steps

\frac{10 a ^{2}}{( 2 a ^{4} ) ^{2}}

Simplify

(2 a^{4})^{2} : 2^{2} a^{8}

= \frac{10 a ^{2}}{2 ^{2} a ^{8}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5 a ^{2}}{2 ^{2} a ^{8}}

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

= \frac{5 a ^{2}}{2 a ^{8}}

Simplify

\frac{a ^{2}}{a ^{8}} : \frac{1}{a ^{6}}

= \frac{5}{2 a ^{6}}

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Frequently Asked Questions (FAQ)

What is (10a^2)/((2a^4)^2) ?
The solution to (10a^2)/((2a^4)^2) is 5/(2a^6)