When can I add exponents?

1 Answer
Apr 7, 2016

Answer:

#x^a xx x^b=x^(a+b)#

Explanation:

Exponents can be added when two of the same base are multiplied. That is, #x^a xx x^b = x^(a+b)#. For example:

  • #2^3xx2^5 = 2^(3+5)=2^8#

  • #5^(-1)xx5^1 = 5^(-1+1) = 5^0 = 1#

  • #7^(1/4)xx7^(3/4) = 7^(1/4+3/4) = 7^(1)=7#

Note that this does not apply when the bases are different.