CPM Homework Help : CCA2 Problem 6-12

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6-12.

Rewrite each expression below as an equivalent expression without negative exponents.

$5^{-2}$
Hint (a):
Recall that $x^{-1} = \frac{1}{x}.$
Answer (a):
$5^{-2} = \frac{1}{5^2} = \frac{1}{25}$

$xy^{-2}$
Hint (b):
The base of the negative exponent is $y$ not $xy$ .

$(xy)^{-2}$
Hint (c):
Here, the base of the negative exponent is what is in the parentheses: $xy$ .

$a^3b^4a^{-4}b^6$
Hint (d):
Use the Laws of Exponents to simplify the expression. Then rewrite without negative exponents.
Answer (d):
$\frac{b^{10}}{a}$

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