3 years ago

(8.08×10^-10)÷(4.0×10^-3) in scientific notation?

Mathematics

1 answer:

saw5 [17]3 years ago

4 0

Answer:

$\large\boxed{2.02\times10^{-7}}$

Step-by-step explanation:

The scientific notation:

$a\cdot10^k\\\\1\leq a$

We have:

$(8.08\times10^{-10})\div(4.0\times10^{-3})\\\\=\dfrac{8.08\times10^{-10}}{4.0\times10^{-3}}\\\\=\dfrac{8.08}{4}\times\dfrac{10^{-10}}{10^{-3}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=2.02\times10^{-10-(-3)}\\\\=2.02\times10^{-7}$

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