(8.08×10^-10)÷(4.0×10^-3) in scientific notation?
Answer:
[tex]\large\boxed{2.02\times10^{-7}}[/tex]
Step-by-step explanation:
The scientific notation:
[tex]a\cdot10^k\\\\1\leq a<10,\ k\in\mathbb{Z}[/tex]
We have:
[tex](8.08\times10^{-10})\div(4.0\times10^{-3})\\\\=\dfrac{8.08\times10^{-10}}{4.0\times10^{-3}}\\\\=\dfrac{8.08}{4}\times\dfrac{10^{-10}}{10^{-3}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=2.02\times10^{-10-(-3)}\\\\=2.02\times10^{-7}[/tex]