Question

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

Answer 1

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...?

Answer 2

Increases

Answer 3

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