Question

Perform the following operationand express the answer inscientific notation.2.589x106 = 3.687x105[ ? ]x10[?]Coefficient (green)Exponent (yellow)Enter

Answer 1

`\begin{gathered} 7.022*10^0 \\ \text{Coefficient}=7.022 \\ \text{Exponent}=0 \end{gathered}`

Explanations:

Given the following scientific notation;

`2.589*10^6/3.687*10^5`

To find the quotient of the function, you will use the quotient law in indices as shown:

`(a^m)/(a^n)=a^(m-n)^{}`

The scientific notation can also be expressed as:

`\begin{gathered} (2.589*10^6)/(3.687*10^5) \\ =(2.589)/(3.687)*10^(6-5) \\ =0.7022*10^1 \end{gathered}`

This can be written in standard form as:

`\begin{gathered} =0.7022*10^1 \\ =7.022*10^(-1)*10^1 \\ =7.022*10^(-1+1) \\ =7.022*10^0 \end{gathered}`

From the resulting scientific notation, you can see that the coefficient is 7.022 and the exponent is 0