Question

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

Answer 1

`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`