Chapter 6, Problem 7CT

To determine

To evaluate:

The value of the given number

Answer to Problem 7CT

The value of given operation is $\frac{7a^3}{6b}$

Explanation of Solution

Given:

The order of operation

  ${\left(\frac{3a}{b}\right)}^2\times \frac{7ab}{54}$

Concept used:

Product means the answer to a multiplication problem

Sum means the total amount resulting from the addition of two or more numbers amounts or items

Quotientmeansa result obtained by dividing one quantity by another

Calculation:

The order of operation

  $\begin{array}{l}={\left(\frac{3a}{b}\right)}^2\times \frac{7ab}{54}\\ =\left(\frac{9a^2}{b^2}\right)\times \frac{7ab}{54}\\ =\left(\frac{a^2}{b}\right)\times \frac{7a}{6}\\ =\frac{7a^3}{6b}\end{array}$

Therefore,

The value of given operation is $\frac{7a^3}{6b}$