Question

use significant figures to solve the following division problem. (6.6666 x 10^6 ks^3)/(2.0000 x 10^4 ks) = what are the units in the final answer? ks ks^2 ks^3 ks^4

Explanation:

Step1: Divide the coefficients

Divide 6.6666 by 2.0000. $6.6666\div2.0000 = 3.3333$

Step2: Divide the powers of 10

Use the rule $a^m\div a^n=a^{m - n}$. So, $10^{6}\div10^{4}=10^{6 - 4}=10^{2}$

Step3: Divide the units

Use the rule $x^m\div x^n=x^{m - n}$ for units. $ks^{3}\div ks=ks^{3 - 1}=ks^{2}$

Step4: Combine the results

The result of the division is $3.3333\times10^{2}ks^{2}$

Answer:

$3.3333\times10^{2}ks^{2}$, B. $ks^{2}$