Question

Which is the solution to (8.5 x 103)(2 x 105) expressed in scientific notation?

Answer 1

We have been given an expression
`(8.5* 10^3)(2* 10^5)`. We are asked to find the solution to our given expression expressed as scientific notation.

Let us simplify our given expression.

Using exponent property
`a^m\cdot a^n=a^(m+n)`, we will get:

`8.5* 2* 10^3* 10^5`

`17* 10^(3+5)`

`17* 10^(8)`

Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:

`1.7* 10* 10^(8)`

`1.7* 10^(1+8)`

`1.7* 10^(9)`

Therefore, our required solution would be
`1.7* 10^(9)`.