### Home > CCA2 > Chapter 10 > Lesson 10.2.2 > Problem10-129

10-129.

Use properties of exponents to rewrite each expression below so that it involves only multiplication and exponents.

1. $\frac { ( - 2 x ) ^ { 3 } y z ^ { 2 } } { 2 ^ { - 1 } \sqrt { x } y ^ { - 3 } }$

$\frac{(-2)^3x^3y^1z^2}{2^{-1}x^\frac{1}{2}y^{-3}}$

$\frac{-2^3x^3y^1z^2}{2^{-1}x^\frac{1}{2}y^{-3}}$

Now apply the exponent rule for division.

1. $\frac { 3 x ^ { 2 } y ^ { 3 } } { \sqrt { 3 x } \sqrt [ 3 ] { y } }$

$3^\frac{1}{2}x^\frac{3}{2}y^\frac{8}{3}$