Answer:
m=4
Step-by-step explanation:
3^3 * 3^5 = 3^m^2
We know that a^b*a^c = a^(b+c)
So combining terms on the left
3^(3+5) = 3^m^2
3^(8) = 3^m^2
We know that a^b^c = a^(b*c)
Combining terms on the left
3^(8) = 3^(m*2)
Since the bases are the same, the exponents are the same
8 = 2m
Divide each side by 2
8/2 = 2m/2
m=4
