Question

If 10^2y=25then what is the value of 10^y

Answer 1

$10^{2y}=25 \\ \\ (10^2)^y=25 \ \ \ \ \ [a^{mn}=(a^m)^n] \\ \\ (10^y)^2=25 \ \ \ \ \ [(a^m)^n=(a^n)^m=a^{mn}] \\ \\ \\ 10^y=\sqrt{25} \\ \\ 10^y=\bold{\pm5}$