Question

if i multiplied 3.625 x 10^-8 by 500, then reported my product in scientific notation what was the exponent in my product

Answer 1

From the given question,

There are given that exponent form is:

$3.625\times10^{-8}$

Now,

Multiply 500 with given form

$3.625\times10^{-8}$

So,

$500\times3.625\times10^{-8}=1812.25\times10^{-8}$

Then the reprted this answer in scientific notation.

According to scientific notation is way of representing between 1 and 10 including 1 and excluding 10 multiplied by appropriate power of 10.

Now,

In given result , we move the decimal 3 times to left side.

Since, the decimal is moved left side, we multiply by

$10^3$

Then,

$\begin{gathered} 1812.5\times10^{-8}=1.8125\times10^3\times10^{-8} \\ =1.8125\times10^{-5} \end{gathered}$

So,

The exponent is quantity represent the power to which a given number or expression is to be raised.

Then,

$1.8125\times10^{-5}$

Hence, the exponent is -5.