Question

What is the quotient of 1.232 x 10^8 and 3.85 x 10^5 expressed in scientificnotation?

Answer 1

The quotient of the numbers are:

`(1.232*10^8)/(3.85*10^5)`

Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:

`(a^x)/(a^y)=a^(x-y)`

Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:

`0.32*10^(8-5)=0.32*10^3=3.2*10^2`

The quotient expressed in scientific notation is:

`3.2*10^2`