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

1 Answer
Jul 3, 2017

Answer:

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

Explanation:

#(\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)#