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Popular >

simplify ((2v^4)^3)/(10v^5)

Solution

simplify

\frac{( 2 v ^{4} ) ^{3}}{10 v ^{5}}

Solution

\frac{4 v ^{7}}{5}

Solution steps

\frac{( 2 v ^{4} ) ^{3}}{10 v ^{5}}

Simplify

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

= \frac{2 ^{3} v ^{12}}{10 v ^{5}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 ^{3} v ^{12}}{2 \cdot 5 v ^{5}}

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

= \frac{2 ^{2} v ^{12}}{5 v ^{5}}

Simplify

\frac{v ^{12}}{v ^{5}} : v^{7}

= \frac{2 ^{2} v ^{7}}{5}

2^{2} = 4

= \frac{4 v ^{7}}{5}

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Frequently Asked Questions (FAQ)

What is ((2v^4)^3)/(10v^5) ?
The solution to ((2v^4)^3)/(10v^5) is (4v^7)/5