Home > CCA > Chapter 6 > Lesson 6.1.1 > Problem6-7

6-7.

Simplify each expression using 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.

• Remember that $x^{-1}=\frac{1}{x}$

• $\frac{2}{\textit{x}^4}$

1.  $(-2x)^{-3}$

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