How do you multiply and simplify $(\frac { 2x ^ { 2} } { y ^ { 3} } ) ^ { 3} ( \frac { y ^ { 2} } { 4x } ) ^ { 2}$ ?

Question

845 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-03T17:32:18

$x^4/(2y^5)$

$(\frac { 2x ^ { 2} } { y ^ { 3} } ) ^ { 3} ( \frac { y ^ { 2} } { 4x } ) ^ { 2}$

Let's manage each fraction individually for now.

$(\frac { 2x ^ { 2} } { y ^ { 3} } ) ^ { 3} =(8x^6)/y^9$

$( \frac { y ^ { 2} } { 4x } ) ^ { 2}=y^4/(16x^2)$

Now we multiply. Remember that $x^a/x^b=x^(a-b)$ .

$(8x^6)/y^9\cdoty^4/(16x^2)=x^4/(2y^5)$

How do you multiply and simplify (\frac { 2x ^ { 2} } { y ^ { 3} } ) ^ { 3} ( \frac { y ^ { 2} } { 4x } ) ^ { 2}(\frac { 2x ^ { 2} } { y ^ { 3} } ) ^ { 3} ( \frac { y ^ { 2} } { 4x } ) ^ { 2}?