Two numbers are written in scientific notation. The number with a positive exponent is divided by the number with a negative exponent. Describe your result. Explain your answer

Question

campbell_st · Answer

you need to know about the index law for division 

$$\frac{x^a}{x^b} = x^{a-b}$$

so in terms of scientific notation 

$$\frac{10^a}{10^{-b}} = 10^{a - (-b)}$$

what happens? do you think the power of 10 increases or decreases...?

jylarai · Answer

Increases

campbell_st · Answer

yes it does... and why does it increase... that is what you need to explain in your answer...