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Popular >

simplify ((4w^2)^3)/(20w^5)

Solution

simplify

\frac{( 4 w ^{2} ) ^{3}}{20 w ^{5}}

Solution

\frac{16 w}{5}

Solution steps

\frac{( 4 w ^{2} ) ^{3}}{20 w ^{5}}

Simplify

(4 w^{2})^{3} : 4^{3} w^{6}

= \frac{4 ^{3} w ^{6}}{20 w ^{5}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 ^{3} w ^{6}}{4 \cdot 5 w ^{5}}

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

= \frac{4 ^{2} w ^{6}}{5 w ^{5}}

Simplify

\frac{w ^{6}}{w ^{5}} : w

= \frac{4 ^{2} w}{5}

4^{2} = 16

= \frac{16 w}{5}

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Frequently Asked Questions (FAQ)

What is ((4w^2)^3)/(20w^5) ?
The solution to ((4w^2)^3)/(20w^5) is (16w)/5