Question

Find the product and write your answer in proper scientific notation (4.5 x 10³)/(3 x 10⁶)

Answer 1

`1.5*10^(-3)`

Step-by-step explanation:

Given the rational expression

`(4.5*10^3)/(3*10^6)`

We can rewrite the fraction as:

`=(4.5)/(3)*(10^3)/(10^6)`

We then simplify and apply the division law of indices to obtain:

`\begin{gathered} =1.5*10^(3-6) \\ =1.5*10^(-3) \end{gathered}`

Note: When you have the same base of an exponent and the terms are being divided, we simply subtract the power of the numerator from that of the denominator.