How do you write 1.65x10^8: 2x10^3 in scientific notation?

I'm guessing you're talking about the ratio,

(1.65 x 10⁸) / (2 x 10³)

You can cancel the lowest power of 10:

(1.65 x 10⁸) / (2 x 10³) = (1.65 x 10⁵) / 2

Divide 1.65 in half to get 0.825. So we have

(1.65 x 10⁸) / (2 x 10³) = 0.825 x 10⁵

Move the decimal point to the right, which involves multiplying by a factor of 10 which is taken from 10⁵, so we end up with

(1.65 x 10⁸) / (2 x 10³) = 8.25 x 10⁴

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have