CPM Homework Help : PC Problem 3-80

Using the rules of exponents, solve the following equations by matching bases.

$8 ( 4 ) ^ { x } = \sqrt [ 3 ] { \frac { 1 } { 2 ^ { x } } }$
Step 1 (a):
${(2^3)(2^2)^x= (2^{-x})^{1/3} }$
Step 2 (a):
$\small 2^{3+2x} = 2^{-x/3}$

$( \frac { 1 } { 25 } ) ^ { x + 1 } = \sqrt { 125 ^ { x } }$
Hint (b):
${\frac{1}{25} = 5^{-2}}$