Chapter 6.1, Problem 56STP

To determine

The expression in simplified form.

Answer to Problem 56STP

Option G. $\frac{1}{12}$ is correct.

Explanation of Solution

Given:

The given expression is:

$\frac{3^2·4^5·5^3}{5^3·3^3·4^6}$

Calculation:

The expression can be simplified as:

  $\begin{array}{l}=\frac{3^2·4^5·5^3}{5^3·3^3·4^6}\\ =\left(\frac{3^2}{3^3}\right)\left(\frac{4^5}{4^6}\right)\left(\frac{5^3}{5^3}\right)\\ =\frac{1}{3\left(4\right)}\\ =\frac{1}{12}\end{array}$

Option G. $\frac{1}{12}$ is correct.