Chapter 6.3, Problem 75STP

To determine

To evaluate:

The value of the given number.

Answer to Problem 75STP

The value of given operation is $6c^3-1+4a^5{d}^{12}c$

Explanation of Solution

Given:

The order of operation

  $\frac{18d^2{c}^5-3d^2{c}^2+12a^5{d}^{14}{c}^3}{3c^2{d}^2}$

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.

Quotient means a result obtained by dividing one quantity by another.

Calculation:

The order of operation

  $\frac{18d^2{c}^5-3d^2{c}^2+12a^5{d}^{14}{c}^3}{3c^2{d}^2}$

  $\begin{array}{l}\frac{3d^2{c}^2\left(6c^3-1+4a^5{d}^{12}c\right)}{3c^2{d}^2}\\ 6c^3-1+4a^5{d}^{12}c\end{array}$