CPM Homework Help : CCA Problem 5-10

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5-10.

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

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

Hint (a):
What do the exponents mean? Is there a shortcut?
${\frac{x\cdot x\cdot x}{x\cdot x}}$

$\frac { y ^ { 5 } } { y ^ { - 2 } }$

Hint (b):
Interpret the meaning of the exponents
$(y·y·y·y·y)(y·y)$ , then simplify.
What is the shortcut?

$4 ^ { - 1 }$

Hint (c):
What do the exponents mean?
$\text{For example: }y^{-3}=\frac{1}{y^{3}}$
Now how can you simplify the given problem?

$(4x^2)^3$

Hint (d):
Remember what each exponent means.
Answer (d):
$64x^6$

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