Answer
$0.02$
Work Step by Step
RECALL:
(i) Scientific notation has the form $a(10^n)$, where $1 \le a \lt 10$ and where $n$ is an integer.
(ii) $\frac{a^{m}}{a^{n}}=a^{m-n}$
Write each number in scientific notation to obtain:
$=\dfrac{8.2(10^{-6})}{4.1(10^{-4})}$
Divide $8.2$ and $4.1$ together and the powers of 10 together to obtain:
$=\dfrac{8.2}{4.1} \cdot \dfrac{10^{-6}}{10^{-4}}
\\=2 \cdot 10^{-6-(-4)}
\\=2(10^{-6+4})
\\=2(10^{-2})
\\=0.02$
