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

Apr 1, 2018

$100$

#### 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:

${10}^{- 2 - \left(- 4\right)} = {10}^{- 2 + 4} = {10}^{2} = 100$

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!