CPM Homework Help : CCA2 Problem A-10

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A-10.

Simplify each expression below. Assume that the denominator in part (b) is not equal to zero.

$(x^3)(x^{-2})$
Hint (a):
Use the rule of a negative exponent:
$x^{-2}=\frac{1}{x^2}\text{ so }$
$(x^3)(x^{-2})=x^3\cdot\frac{1}{x^2}$
More Help (a):
Expand and factor out any 1s:
$x^3\cdot\frac{1}{x^2}=\frac{xxx}{xx}$
Answer (a):
$x$

^{$\frac { y ^ { 5 } } { y ^ { - 2 } }$}
Hint (b):
Use the rule of a negative exponent:
$\frac{1}{y^2}=y^{-2}\text{ so }\frac{y^5}{y^-2}=y^5\cdot y^2$

$4^{-1}$
Hint (c):
What does the negative exponent mean? How can you simplify?

$(4x^2)^3$
Hint (d):
Refer to problem A-9.

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