Question

The expression x^{1/2}y^{-2/3})^-6 " alt="( x^{1/2}y^{-2/3})^-6 " align="absmiddle" class="latex-formula"> is equivalent to
A. $\frac{y^4}{x^3}$
B. $\frac{x^3}{y^4}$
C. $\frac{1}{x^3y^4}$
D. $x^3y^4$

Please Show All Work

Answer 1

Y ^(-2/3)^-6 = y^12/3 = y^4

x^(1/2)^ -6 = x^-3 = 1 x^3

so the answer is y^4 * 1 /x^3  = y^4 / x^3

A