In math class, Sam correctly multiplied 3.625 × 10 with the exponent of -8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product?

Question

a.-16
b.-10
c.-7
D.-5
I think the answer is B. Please correct me if I am wrong, tysm.

Answer 1

3.625×10^-8 * 500 = 3.625×10^-8 * 5×10^-2
= 3.625*5 × 10^-6
= 18.125 × 10^-6
= 1.8125 × 10^-5
I think you divided by 500, and even then got it wrong
3.625×10^-8 ÷ 5×10^2
= 0.725×10^-10
= 7.25×10^-11

Answer 2

I think there is a typo here, but what follows above corrects it.
3.625×10^-8 * 500 = 3.625×10^-8 * 5×10^-2 should be 5*10⁺²