Question

divide. $\frac{9\times10^{- 5}}{3\times10^{-3}}$ $3\times10^{0}$ $3\times10^{2}$ $3\times10^{-4}$ $3\times10^{-2}$

Explanation:

Step1: Divide the coefficients

Divide 9 by 3.
$9\div3 = 3$

Step2: Divide the powers of 10

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

Step3: Combine the results

Multiply the result of the coefficient - division and the result of the power - division.
$3\times10^{-2}$

Answer:

$3\times10^{-2}$