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Popular >

simplify ((2w^4)^3)/(6w^4)

Solution

simplify

\frac{( 2 w ^{4} ) ^{3}}{6 w ^{4}}

Solution

\frac{4 w ^{8}}{3}

Solution steps

\frac{( 2 w ^{4} ) ^{3}}{6 w ^{4}}

Simplify

(2 w^{4})^{3} : 2^{3} w^{12}

= \frac{2 ^{3} w ^{12}}{6 w ^{4}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 ^{3} w ^{12}}{2 \cdot 3 w ^{4}}

\frac{2 ^{3}}{2} = 2^{2}

= \frac{2 ^{2} w ^{12}}{3 w ^{4}}

Simplify

\frac{w ^{12}}{w ^{4}} : w^{8}

= \frac{2 ^{2} w ^{8}}{3}

2^{2} = 4

= \frac{4 w ^{8}}{3}

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Frequently Asked Questions (FAQ)

What is ((2w^4)^3)/(6w^4) ?
The solution to ((2w^4)^3)/(6w^4) is (4w^8)/3