Question

divide. write your answer in scientific notation. $\frac{8\times10^{-2}}{2\times10^{-5}}$

Explanation:

Step1: Divide the coefficients

Divide 8 by 2: $\frac{8}{2}=4$.

Step2: Divide the powers of 10

Use the rule $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = 10$, $m=-2$, $n=-5$. So $\frac{10^{-2}}{10^{-5}}=10^{-2-(-5)}=10^{-2 + 5}=10^{3}$.

Step3: Combine the results

Multiply the result from step 1 and step 2: $4\times10^{3}$.

Answer:

$4\times10^{3}$