### Home > INT1 > Chapter 11 > Lesson 11.2.5 > Problem11-112

11-112.

Rewrite each expression without parentheses and use positive exponents only.

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

Use the Power Property of Exponents and simplify.

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

1. $(6x^3)(3xy)^{-1}$

Rewrite as a fraction.
Use Giant Ones to simplify.

$\frac{6x^3}{3xy}$

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

Take the reciprocal of both the numerator and the denominator. Use the Power Property in the denominator, then use Giant Ones to simplify.

$\frac{2x^3}{\left(2x\right)^2}=\frac{2x^3}{4x^2}$