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 $(8.5\times 10^3)(2\times 10^5)$. 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:

$8.5\times 2\times 10^3\times 10^5$

$17\times 10^{3+5}$

$17\times 10^{8}$

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

$1.7\times 10\times 10^{8}$

$1.7\times 10^{1+8}$

$1.7\times 10^{9}$

Therefore, our required solution would be $1.7\times 10^{9}$.