Question

Evaluate the following quotient. Leave your answer in scientific notation.(5.9 x 10°) = (4 x 104)AnswerKeyboХ

Answer 1

Statement Problem: Evaluate the following quotient. Leave your answer in scientific notation.

`(5.9*10^9)/(4*10^4)`

Solution:

`(5.9*10^9)/(4*10^4)=(5.9)/(4)*(10^9)/(10^4)`

By law of indices;

`(a^b)/(a^c)=a^(b-c)`
`\begin{gathered} (5.9*10^9)/(4*10^4)=(5.9)/(4)*10^(9-4) \\ (5.9*10^9)/(4*10^4)=1.475*10^5 \end{gathered}`

ANSWER:

`1.475*10^5`