Chapter 5, Problem 1CR

To determine

To give the letter of the correct answer of the given function: $\frac{18x^{3}y}{12x^2{y}^4}$

Answer to Problem 1CR

The correct answer is b.

Explanation of Solution

Given that: : $\frac{18x^{3}y}{12x^2{y}^4}$

Write in variable separate manner

  $\frac{18x^{2}y}{12x^2{y}^4}=\frac{18}{12}\times \frac{x^2}{x^2}\times \frac{y}{y^4}$

Formula: Apply law of Exponents $\frac{a^n}{a^m}=a^{n-m}$

  $\begin{array}{c}\frac{18}{12}\times \frac{x^2}{x^2}\times \frac{y}{y^4}\Rightarrow \frac{3}{2}{x}^{(3-2)}{y}^{(1-4)}\\ \Rightarrow \frac{3}{2}x{y}^{-3}=\frac{3x}{2y^3}\end{array}$

Hence, the correct answer is b.