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Popular >

simplify (12w^9v^4)/((4wv)^2)

Solution

simplify

\frac{12 w ^{9} v ^{4}}{( 4 w v ) ^{2}}

Solution

\frac{3 w ^{7} v ^{2}}{4}

Solution steps

\frac{12 w ^{9} v ^{4}}{( 4 w v ) ^{2}}

Apply exponent rule:

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

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

= \frac{12 w ^{9} v ^{4}}{4 ^{2} w ^{2} v ^{2}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 w ^{9} v ^{4}}{4 ^{2} w ^{2} v ^{2}}

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

= \frac{3 w ^{9} v ^{4}}{4 w ^{2} v ^{2}}

Simplify

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

= \frac{3 w ^{7} v ^{4}}{4 v ^{2}}

Simplify

\frac{v ^{4}}{v ^{2}} : v^{2}

= \frac{3 w ^{7} v ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is (12w^9v^4)/((4wv)^2) ?
The solution to (12w^9v^4)/((4wv)^2) is (3w^7v^2)/4