How do you simplify (\frac { 2x ^ { 2} y } { x ^ { 3} } ) ^ { 3} \times ( \frac { y ^ { 1} } { 2x } ) ^ {- 2}?

1 Answer
Oct 20, 2017

32x^-1 y

Explanation:

Given, [(2x^2y)/x^3]^3. [y^1/(2x)]^-2

rArr [(2y)/x]^3. [(2x)/y]^2 [ As a^-1 = 1/a^1]

rArr (2^3 y^3)/x^3. (2^2 x^2)/y^2

rArr 8. 4. y. 1/x

rArr 32x^-1 y