Question

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

Answer 1

`\large\boxed{2.02*10^(-7)}`

Explanation:

The scientific notation:

`a\cdot10^k\\\\1\leq a<10,\ k\in\mathbb{Z}`

We have:

`(8.08*10^(-10))/(4.0*10^(-3))\\\\=(8.08*10^(-10))/(4.0*10^(-3))\\\\=(8.08)/(4)*(10^(-10))/(10^(-3))\qquad\text{use}\ (a^n)/(a^m)=a^(n-m)\\\\=2.02*10^(-10-(-3))\\\\=2.02*10^(-7)`