How do you rewrite #x^-5 x^5# using a positive exponent?

1 Answer
Oct 16, 2015

Answer:

#x^0=1#.

Explanation:

Actually, #x^{-5}# is exactly the inverse number of #x^5#, assuming #x ne 0#. In fact, a negative power means "#1# over the positive power": #x^{-5}=1/{x^5}#.

So, #x^{-5}*x^5 = 1/{x^5}*x^5 = 1#

Obviously, #1=x^0# (any number to the power of zero is one, as long as the number is different from zero).

Also, using the power multiplication rule, we can work this way: you multiplicate powers of the same number by adding the exponents. In this case,

#x^{-5}*x^5=x^{-5+5}=x^0=1#.