Question

Perform the following mathematical operation, and report the answer in scientific notation to the correct number of significant figures.


`\frac{2.500 * {10}^(2) }{5.00 * {10}^( - 5) }`
= [?] × 10[?]​​

Answer 1

5 x
`10^(6)`

Explanation:

2.5/5 = .5

5 x
`10^(-1)`

`(10^(2) )/(10^(-5) )` When the bases are the same and you are dividing, you subtract the exponents.

`10^(2 - -5)` Which is the same as
`10^(7)`

5 x
`10^(-1)` x
`10^(7)` When the bases are the same and you are multiplying, you add the exponents.

5 x
`10^(6)`