CPM Homework Help : CC3MN Problem 10-11

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10-11.

Simplify each expression.

$\frac { 5 ^ { 3 } } { 5 ^ { 9 } }$
Hint (a):
What do the exponents mean?
More Help (a):
$\frac{5\cdot 5\cdot 5}{5\cdot 5\cdot 5\cdot 5\cdot 5\cdot 5\cdot 5\cdot 5\cdot 5}$
Simplify.
Answer (a):
$\frac{1}{5^6}=5^{-6}$

$\frac { ( a b ) ^ { 4 } } { a b ^ { 3 } }$
Hint (b):
See part (a).

$8x^{-3}(8x)^2$
Hint (c):
What do the exponents mean?
Be mindful of the parentheses.
More Help 1(c):
$\frac{8(8x)^2}{x^3}$
Expand the exponents.
More Help 2(c):
$\frac{8\cdot 8\cdot 8\cdot x\cdot x}{x\cdot x\cdot x}$
Answer (c):
$\frac{8^3}{ x}$

$( \frac { 1 } { 6 } ) ^ { 5 } \cdot ( 6 ) ^ { 3 }$
Hint (d):
See part (c).

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