SOLUTION: Please help me understand how to do this. I am to simplify if possible and solve. 5 to the negative 7 th *5^9 =

Question 121369: Please help me understand how to do this. I am to simplify if possible and solve.
5 to the negative 7 th *5^9 =
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5 to the negative 7 th *5^9 =
---------------------------
The general rules:
a^x*a^y=a^(x+y)
-------
(a^x)/(a^y) = a^(x-y) = 1/(a^(y-x)
--------
Your Problem:
5^-7*5^9 = 5^(-7+9) = 5^2 = 25
OR
5^-7 * 5^9 = (5^9)/(5^7) = 5^(9-7)= 5^2 = 25
=======================
Cheers,
Stan H.
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