9-0^2 is blank times as much as 310-^2

Question

asked Jan 22, 2021 75.0k views

1 Answer

Lambo · Answer 1 · 2021-01-27T06:03:31+0000

As I understand the question you have the following expressions given in scientific notation:

Expression A:

9*10^2

Expression B:

3*10^(-2)

So we need to compare both expression in order to know how much times is expression A bigger than B. So:

$(9* 10^2)/(3* 10^(-2))=(9)/(3)*10^(2-(-2))=3* 10^4=30,000 \\ \\ \\ *(a^n)/(b^m)=a^(n-m)$

In conclusion
9*10^2 is
30,000 times as much as
3*10^(-2)