Question

HELP Satellite. Cubed root of 512x^2y^4/8x^5y. Simplify the expression and express the answer using rational exponents. Assume that x and y denote positive numbers.

Answer 1

\[\frac{\left(512x^2y^2\right)}{8x^{5y}}\]
is that it?

Answer 2

or
\[\frac{\left(512x^2y^2\right)}{8x^5y}\]

Answer 3

divide the numbers and subtract the exponents to get
\[64x^{2-5}y^{2-1}=64x^{-3}y\]

Answer 4

if you are told to use "positive exponents only" then rewrite as
\[\frac{64y}{x^3}\] because
\[x^{-3}=\frac{1}{x^3}\]