Question

What is the quotient of 2.592 x 10^7 and 7.2 x 10^4 expressed in scientific notation?

Answer 1

Step-by-step explanation:

Given the expression:

`(2.592*10^7)/(7.2*10^4)`

We can rewrite it as:

`(2592*10^(-3)*10^7)/(72*10^(-1)*10^4)`

Combine all powers of 10:

`\begin{gathered} =\frac{2592*10^(-3+7)}{72*10^(-1+4)^{}} \\ =(2592*10^4)/(72*10^3) \\ =\frac{2592}{72^{}}*(10^4)/(10^3) \\ =36*10 \\ =3.6*10^1*10^1 \\ =3.6*10^(1+1) \\ =3.6*10^2 \end{gathered}`

The quotient expressed in scientific notation is 3.6 x 10².