Chapter 4, Problem 21CT

To determine

To write the fraction in simplest form $\frac{4w^{15}}{24w^3}$

Answer to Problem 21CT

  $\frac{w^{12}}{6}$

Explanation of Solution

Given information:

Expression $\frac{4w^{15}}{24w^3}$

Formula Used: Quotient rule with same base

Calculation:

The Quotient Rule with same base says that when the bases are same and in division, the exponent powers are subtracted. In the given expression, have the base as w.

4 and 24 will divide to give us $\frac{1}{6}$ . On applying the Quotient Rule, get-

  $\frac{4w^{15}}{24w^3}=\frac{w^{15-3}}{6}$

This will give us-

  $\frac{w^{15-3}}{6}=\frac{w^{12}}{6}$

Conclusion-

  $=\frac{w^{12}}{6}$