Question

63POINTS!!!!

Can i get the answer with an explanation and an explanation on why the other choices are wrong please!? Thank you

Answer 1

C

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