How do you simplify the expression #x^8/x^4# using the properties?

1 Answer

Answer:

#x^8/x^4=x^(8-4)=x^4#. See below for more ways to get to this answer.

Explanation:

We can do this a few ways:

  • Use #x^a/x^b=x^(a-b)#

We can take #x^8/x^4=x^(8-4)=x^4#

  • Use #(x^a)^b=x^(ab)#

We can rewrite the numerator:

#x^8/x^4=(x^(4xx2))/x^4=(x^4)^2/x^4=(x^4x^4)/x^4=x^4#

  • Use #x^axxx^b=x^(a+b)#

We can rewrite the numerator in a different way:

#x^8/x^4=(x^(4+4))/x^4=(x^4x^4)/x^4=x^4#