Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Mixed Review - Page 419: 80

$x^6y^4$

Given: $(\frac{x^3}{y^{-2}})^2$ Apply the Power of a Power Property: $(\frac{x^3}{y^{-2}})^2=\frac{(x^3)^2}{(y^{-2})^2}=\frac{x^6}{y^{-4}}$ Apply the Negative Exponent Property: $y^{-4}=\frac{1}{y^{4}}$ Hence, the expression becomes $x^6y^4$