# How do you solve #1/ sqrt 8 = 4^(m – 2)#?

##### 1 Answer

Feb 14, 2016

#### Answer:

The answer is

#### Explanation:

When solving exponential equations (or inequalities) first you have to find a suitable common base. In this case it would be

Now you have to write the equation using calculated base:

Now you can use the property of powers which says that

Next property to use is:

Now since we have the equality of 2 powers with equal base we can write it as the equality of exponents: