Statement Problem: Evaluate the following quotient. Leave your answer in scientific notation.
[tex](5.9\times10^9)\div(4\times10^4)[/tex]
Solution:
[tex](5.9\times10^9)\div(4\times10^4)=\frac{5.9}{4}\times\frac{10^9}{10^4}[/tex]
By law of indices;
[tex]\frac{a^b}{a^c}=a^{b-c}[/tex][tex]\begin{gathered} (5.9\times10^9)\div(4\times10^4)=\frac{5.9}{4}\times10^{9-4} \\ (5.9\times10^9)\div(4\times10^4)=1.475\times10^5 \end{gathered}[/tex]
ANSWER:
[tex]1.475\times10^5[/tex]
