Question

simplify the expression (x^-6y^-4/x^-3y^5)^-3/5 show steps / solution answer should be x^9/5y^27/5

Answer 1

\[(\frac{x^{-6}y^{-4}}{x^{-3}y^{5}})^{-3/5}\]
well first rewrite using positive exponents
To change sign of exponent, move term from top to bottom or bottom to top
\[(\frac{x^{6}y^{4}y^{5}}{x^{3}})^{3/5}\]
combine like terms
\[(x^{3}y^{9})^{3/5}\]
multiply exponents
\[x^{9/5}y^{27/5}\]