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Popular >

simplify ((4u^2)^4)/(12u^5)

Solution

simplify

\frac{( 4 u ^{2} ) ^{4}}{12 u ^{5}}

Solution

\frac{64 u ^{3}}{3}

Solution steps

\frac{( 4 u ^{2} ) ^{4}}{12 u ^{5}}

Simplify

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

= \frac{4 ^{4} u ^{8}}{12 u ^{5}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 ^{4} u ^{8}}{4 \cdot 3 u ^{5}}

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

= \frac{4 ^{3} u ^{8}}{3 u ^{5}}

Simplify

\frac{u ^{8}}{u ^{5}} : u^{3}

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

4^{3} = 64

= \frac{64 u ^{3}}{3}

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Frequently Asked Questions (FAQ)

What is ((4u^2)^4)/(12u^5) ?
The solution to ((4u^2)^4)/(12u^5) is (64u^3)/3