Question

Which expression is equivalent to128x5y82x7y55 ? Assume x > 0 and y> 0HE888.+/X

Answer 1

we have the expression

$\sqrt[]{\frac{128x^5y^6}{2x^7y^5}}$

simplify

we have that

128/2=64=2^6

(x^5y^6)/(x^7y^5)=y/x^2

substitute in the original expression

$\sqrt[]{\frac{2^6y}{x^2^{}}}=\frac{2^3}{x}\sqrt[]{y}=\frac{8}{x}\sqrt[]{y}$