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

Sagot :

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

[tex]N=a\times10^b[/tex]

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:

[tex]\begin{gathered} \mleft(8•10^{13}\mright)\div2•10^8= \\ =\frac{8}{2}\times\frac{10^{13}}{10^8}= \\ =4\times10^{13-8}= \\ =4\times10^5 \end{gathered}[/tex]

So the final answer is 4 x 10^5

For the second one:

[tex]\begin{gathered} \mleft(5•10^8\mright)6•10^9\div15•10^{14}​= \\ =\frac{5\cdot6\cdot10^{8+9}}{15\cdot10^{14}}= \\ =\frac{30\cdot10^{17}}{15\cdot10^{}^{14}}= \\ =\frac{30}{15}\cdot10^{17-14}= \\ =2\cdot10^3 \end{gathered}[/tex]

Our final answer here is 2 x 10^3.