Question

How do you simplify `(4^0*4^-4)/4^0` and write it using only positive exponents?

Answer 1

Simplify each term, then solve.

Explanation:

The key thing we need to know is that a base with an exponent of 0 equals 1. This means that the two `4^0`s equal 1. Using this rule, we can simplify this expression:

`(4^0*4^-4)/4^0=(1*4^-4)/1=4^-4`

Now that we've simplified the expression a bit, we now have to simplify it a bit more. You may recall that `x^-y=1/x^y`. Using this rule, we can get our answer:

`4^-4=1/4^4=1/256`