CPM Homework Help : ACC7 Problem 8-95

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Home > ACC7 > Chapter 8 Unit 9 > Lesson CC3: 8.2.3 > Problem 8-95

8-95.

Simplify each expression using the rules for exponents.

$\frac { 3 ^ { 5 } } { 3 ^ { 10 } }$
Hint (a):
3^{(5 − 10)}
Answer (a):
$3^{-5}=\frac{1}{3^{5}}$

$10x^{4}\left(10x\right)^{−2}$
Hint (b):
Remember, when an exponent is located outside of a group of parentheses, the exponent applies to each and every value within the parentheses.
More Help (b):
$10x^{4}\left(10^{−2}x^{−2}\right)$
Answer (b):
$\frac{{\it x}^{2}}{10}$

$( \frac { 1 } { 4 } ) ^ { 3 } \cdot ( 4 ) ^ { 2 }$
Hint (c):
This can be rewritten as:
$\left(4^{−1}\right)^{3}\left(4\right)^{2}$
More Help (c):
See (b).

$\frac { ( x y ) ^ { 3 } } { x y ^ { 3 } }$
Hint (d):
See (a) and (b).

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