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.

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