9 to the 7th power over 9 to the x power= 729 whats the value of x

Question

find the value of x in the equation without evalutating the power

Answer 1

9^7
----- = 729
9^x

9^(7 - x) = 9^3 {subtracted exponents when dividing with same base}
7 - x = 3 {bases were equal so set exponents equal}
-x = -4 {subtracted 7 from both sides}
x = 4 {divided both sides by -1}