Question

Simplify expression. Assume that all variables represent positive real numbers. (x^2y^6) 1/2 over (-2xy)^3

Answer 1

I agree but I still need to solve it.

Answer 2

Here:\[{(x^2y^6)^{1/2} \over (-2xy)^3}={xy^3 \over -8x^3y^3}=-{1 \over 8x}.\]

Answer 3

how did you get xy^3 over -8x^3y^3

Answer 4

Distribute the exponent over all of them as \((x^2)^{1/2}\) for example, which is equal to \(x\).

Answer 5

what happen to the -8x^3? Why is it just -1/8x?