Chapter 4, Problem 22CR

To determine

To write the fraction in simplest form $\frac{5cd}{2d}$

Answer to Problem 22CR

  $\frac{5c}{2}$

Explanation of Solution

Given information:

Expression $\frac{5cd}{2d}$

Formula Used: Quotient rule with same base and Zero Exponent Rule

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 d in both numerator & denominator. On applying the Quotient rule,have

  $=\frac{5c}{2}\times \left(\frac{d^1}{d^1}\right)$

On applying the Quotient rule, get-

  $=\frac{5c}{2}\times \left(d^{1-1}\right)$

Hence,

  $=\frac{5c}{2}\times \left(d^0\right)$

now apply the zero exponent rule to d.

  $=\frac{5c}{2}$

Conclusion-

  $=\frac{5c}{2}$