Rewrite with positive exponents, and simplify, if possible. ((8xz)/(9y))^(-1/2)

Question

Rewrite with positive exponents, and simplify, if possible.


`((8xz)/(9y))^(-1/2)`

Answer 1

`\left((8xy)/(9y)\right)^{-(1)/(2)}=\left((9y)/(8xz)\right)^(1)/(2)=(√(9y))/(√(8xz))=(3√(y))/(√(4\cdot2xz))=(3√(y))/(2√(2xz))\cdot(√(2xz))/(√(2xz))=(3√(2xyz))/(2\cdot2xz)=(3√(2xyz))/(4xz)`