Chapter SH, Problem 9.3.12EP

To determine

To calculate: Quotient using exponents.

Answer to Problem 9.3.12EP

Quotient using exponents of given number is $3m^6$ .

Explanation of Solution

Given information:

  $\frac{6m^8}{3m^2}$

Calculation:

The given number is $\frac{6m^8}{3m^2}$ .

As the bases of exponents is same that is $m$ .

According to the quotient of property rule, one can subtract the power in denominator from the power in the numerator that is $\frac{X^a}{X^b}=X^{a-b}$ .

After simplifying,

  $\begin{array}{l}=\frac{6m^8}{3m^2}\\ =\left(\frac{6}{3}\right)\left(m^8-m^2\right)\\ =3\cdot m^{8-2}\\ =3m^6\end{array}$

So obtained quotient from $\frac{6m^8}{3m^2}$ is $3m^6$ .