CPM Homework Help : CCA Problem 6-7

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6-7.

Simplify each expression using only positive exponents.

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

Hint (a):
Remember that when you multiply, you add the exponents.
Answer (a):
$−6xy^4$

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

Hint (b):
Refer to part (a).
More Help (b):
$y^0 = 1$

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

Hint (c):
Remember that when you divide, you subtract the exponents.
More Help (c):
Remember that $x^{-1}=\frac{1}{x}$
Answer (c):
$\frac{2}{\textit{x}^4}$

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

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

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