Question

How do you simplify `10^-2 / 10^-4`?

Answer 1

`100`

Explanation:

Our bases are the same, and we're dividing, so we will subtract the exponents, and the base will stay the same. Doing this, we get:

`10^(-2-(-4))= 10^(-2+4)=10^2=100`

Remember, if the bases are the same, we just tend to the exponents.

Division corresponds with subtraction, and multiplication corresponds with addition.

Hope this helps!