CPM Homework Help : INT1 Problem 2-33

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2-33.

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

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

Hint (a):
Use the Commutative Property of Multiplication to rearrange the factors.
Review the Math Notes box in Lesson 1.3.2 for more help.
Step 1:
$(5)(−3)(x^3)(x^{−2})$
Step 2:
Use exponent rules to multiply the two factors with the variable.
Answer (a):
$−15x^1$

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

Hint (b):
Review the Math Notes box in Lesson 1.3.2.

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

Answer (c):
$3m^8$

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