Answer:
[tex]\begin{gathered} 7.022\times10^0 \\ \text{Coefficient}=7.022 \\ \text{Exponent}=0 \end{gathered}[/tex]
Explanations:
Given the following scientific notation;
[tex]2.589\times10^6\div3.687\times10^5[/tex]
To find the quotient of the function, you will use the quotient law in indices as shown:
[tex]\frac{a^m}{a^n}=a^{m-n}^{}[/tex]
The scientific notation can also be expressed as:
[tex]\begin{gathered} \frac{2.589\times10^6}{3.687\times10^5} \\ =\frac{2.589}{3.687}\times10^{6-5} \\ =0.7022\times10^1 \end{gathered}[/tex]
This can be written in standard form as:
[tex]\begin{gathered} =0.7022\times10^1 \\ =7.022\times10^{-1}\times10^1 \\ =7.022\times10^{-1+1} \\ =7.022\times10^0 \end{gathered}[/tex]
From the resulting scientific notation, you can see that the coefficient is 7.022 and the exponent is 0
