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Popular >

simplify (20v^9)/((4v)^2)

Solution

simplify

\frac{20 v ^{9}}{( 4 v ) ^{2}}

Solution

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

Solution steps

\frac{20 v ^{9}}{( 4 v ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 v)^{2} = 4^{2} v^{2}

= \frac{20 v ^{9}}{4 ^{2} v ^{2}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 5 v ^{9}}{4 ^{2} v ^{2}}

\frac{4}{4 ^{2}} = \frac{1}{4}

= \frac{5 v ^{9}}{4 v ^{2}}

Simplify

\frac{v ^{9}}{v ^{2}} : v^{7}

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

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Frequently Asked Questions (FAQ)

What is (20v^9)/((4v)^2) ?
The solution to (20v^9)/((4v)^2) is (5v^7)/4