Question

Evaluate the expression without using a calculator. (Enter your answer in scientific notation.)

Answer 1

3.0 ×
`10^(13)`

Explanation:

using the rule of exponents

•
`(a^(m) )/(a^(n) )` =
`a^((m - n))`

given

`(9.0 .10^(7) )/(3.0.10^(-6) )` ← separate the parts into a product

=
`(9.0)/(3.0)` ×
`(10^(7) )/(10^(-6) )`

= 3.0 ×
`10^(7-(-6)))`

= 3.0 ×
`10^((7+6))`

= 3.0 ×
`10^(13)`