Answer:
C
Step-by-step explanation:
Some exponent rules:
1. a^b x a^c = a^(b+c)
2. a^b / a^c = a^(b-c)
So...
3^102 + 9 x 3^100 + (3^103)/3
= 3^102 + 3^2 x 3^100 + (3^103)/3^1
Using the exponent rules...
= 3^102 + 3^(100+2) + 3^(103-1)
= 3^102 + 3^102 + 3^102
We can write that as...
= 3 x 3^102
= 3^(102+1)
= 3^103
