### Home > INT1 > Chapter 2 > Lesson 2.1.3 > Problem2-33

2-33.

Rewrite each of the expressions below in a simpler form. Your new expressions should not contain negative exponents.

1. $( 5 x ^ { 3 } ) ( - 3 x ^ { - 2 } )$

• Use the Commutative Property of Multiplication to rearrange the factors.
Review the Math Notes box in Lesson 1.3.2 for more help.

$(5)(−3)(x^3)(x^{−2})$

Use exponent rules to multiply the two factors with the variable.

$−15x^1$

1. $\quad ( 4 p ^ { 2 } q ) ^ { 3 }$

• Review the Math Notes box in Lesson 1.3.2.

1. $\frac { 3 m ^ { 7 } } { m ^ { - 1 } }$

• $3m^8$