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

1 Answer
Oct 2, 2016

Answer:

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#