SOLUTION: if a=10 to the power x , b=10 to the power y and a to the power x times b to the power y is equal to 100 then prove that xy=1.

Algebra ->  Exponents -> SOLUTION: if a=10 to the power x , b=10 to the power y and a to the power x times b to the power y is equal to 100 then prove that xy=1.      Log On


   



Question 1101899: if a=10 to the power x , b=10 to the power y and a to the power x times b to the power y is equal to 100 then prove that xy=1.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
if a=10 to the power x , b=10 to the power y and a to the power x times b to the power y is equal to 100 then prove that xy=1.
The first step is to rewrite in math language.
If a=10^x , b=10^y and a^x*b^y=100 then prove that xy=1.
a=10^x
b=10^y
a^x*b^y=100
Prove xy=1