### Home > PC > Chapter 3 > Lesson 3.2.2 > Problem3-80

3-80.

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

1. $8 ( 4 ) ^ { x } = \sqrt [ 3 ] { \frac { 1 } { 2 ^ { x } } }$

${(2^3)(2^2)^x= (2^{-x})^{1/3} }$

$\small 2^{3+2x} = 2^{-x/3}$

1. $( \frac { 1 } { 25 } ) ^ { x + 1 } = \sqrt { 125 ^ { x } }$

${\frac{1}{25} = 5^{-2}}$