Question

When evaluating, what will be the exponent of 10 in the quotient? 3 4 8 16

Answer 1

For this case we have the following division:

$\frac{6.28 * 10 ^ {12}}{3.14 * 10 ^ 4}$

Rewriting the product we have:

$(\frac{6.28}{3.14}) (\frac{10^{12}}{10^4})$

By definition we have to:

In the divison, if we have the same base we subtract the exponents.

We have then:

$(2) (10 ^ {(12-4)})\\(2) (10 ^ 8)$

Answer:

The exponent of 10 in the division will be:

8

Answer 2

In this case it would be 8