CPM Homework Help : CCA Problem 6-75

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6-75.

Simplify each expression using positive exponents only.

$( \frac { 3 x } { y ^ { 2 } } ) ^ { 2 }$
Step (a):
Use the Power of a Power property of exponents and simplify.
$\frac{3^{1\cdot 2}\cdot x^{1\cdot 2}}{y^{2\cdot 2}}$

$(6x^3)(3xy)^{-1}$
Step (b):
Rewrite as a fraction.
Use Giant Ones to simplify.
$\frac{6x^3}{3xy}$

$\frac { ( 2 x ) ^ { - 2 } } { ( 2 x ^ { 3 } ) ^ { - 1 } }$
Step (c):
$\frac{(2x^3)^1}{\left(2x\right)^2}=\frac{2x^3}{2x\cdot2x}$

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