Question

divide. write your answer in scientific notation.
$\frac{3.2\times 10^{-4}}{2.5\times 10^{-5}}$

Explanation:

Step1: Divide the coefficients

Divide 3.2 by 2.5.
$3.2\div2.5 = 1.28$

Step2: Divide the powers of 10

Use the rule $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = 10$, $m=-4$ and $n = - 5$. So, $\frac{10^{-4}}{10^{-5}}=10^{-4-(-5)}=10^{-4 + 5}=10^{1}$.

Step3: Combine the results

Multiply the result from step 1 and step 2.
$1.28\times10^{1}$

Answer:

$1.28\times10^{1}$