### Home > INT1 > Chapter 4 > Lesson 4.1.1 > Problem4-5

4-5.

Rewrite each expression without parentheses and use only positive exponents.

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

• Remember that when you multiply, you add the exponents.

$−6xy^4$

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

• Refer to part (a).

$y^0 = 1$

1. $\frac { 6 x ^ { - 2 } } { 3 x ^ { 2 } }$

• Remember that when you divide, you subtract the exponents.

$\text{Remember that } x^{ -1}=\frac{1}{x}$

$\frac{2}{\textit{x}^4}$

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

• $\text{The expression is equivalent to } \frac{1}{(-2 x)^3}$.