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

Answer 1

#100#

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!

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Answer 2

Abigail Allen

To simplify (10^{-2} / 10^{-4}), you subtract the exponents since they have the same base. So, (10^{-2} / 10^{-4} = 10^{-2 - (-4)} = 10^{-2 + 4} = 10^2). Therefore, (10^{-2} / 10^{-4} = 100).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.