Question

Divide. (6.496×10−6)÷(2.8×105) Express your answer in scientific notation. Enter your answer in the boxes.

Answer 1

we have been asked to perform $(6.496*10^{-6})\div (2.8*10^5)$

The given expression can be written as

$\frac{(6.496*10^{-6})}{2.8*10^5}$

Now it can be re-written as below

$=\frac {(6.496*10^{-6})}{2.8*10^5}=\frac{6.496}{2.8}*\frac{10^{-6}}{10^5}\\ \\ \text{Now using the exponent rule } \\ \\ \frac{a^m}{a^n}=a^{m-n}\\ \\ \text{we can re-write as below}\\ \\ \frac{6.496}{2.8}*\frac{10^{-6}}{10^5}= \frac{6.496}{2.8}*10^{-6-5}= \frac{6.496}{2.8}*10^{-11}\\ \\ \text{Now divide we get}\\ \\ =2.32*10^{-11}$