Question

write each in scientific notation with the answer simplified:(8•10^13) ÷ (2•10^8)(5•10^8) (6•10^9) ÷ (15•10^14)

Answer 1

To write in scientific notation we must follow the formula below:

`N=a*10^b`

where:

a is a number between 1 and 9;

b is a integer, i.e., can be a positive or negative number

We have also to do some power properties.

For the first question, we get:

`\begin{gathered} \mleft(8•10^(13)\mright)/2•10^8= \\ =(8)/(2)*(10^(13))/(10^8)= \\ =4*10^(13-8)= \\ =4*10^5 \end{gathered}`

So the final answer is 4 x 10^5

For the second one:

`\begin{gathered} \mleft(5•10^8\mright)6•10^9/15•10^(14)​= \\ =(5\cdot6\cdot10^(8+9))/(15\cdot10^(14))= \\ =\frac{30\cdot10^(17)}{15\cdot10^{}^(14)}= \\ =(30)/(15)\cdot10^(17-14)= \\ =2\cdot10^3 \end{gathered}`

Our final answer here is 2 x 10^3.