# How do you write a verbal expression for the algebraic expression: p^4 +6q ?

May 11, 2017

The sum of $p$ raised to the fourth power and $6$ times $q$.

#### Explanation:

A verbal expression of a mathematical expression consists of words rather than symbols to represent the various operations described.

For example, we say "the sum of $a$ and $b$" when we are provided with $a + b$ or "the product of $a$ and $b$" when we see $a b$.

We leave the operands like the numbers and symbols intact, not the operators like $+$, $-$, $\setminus \times$, etc. We proceed step-by-step and work on explaining one operator at a time.

For this question, we do the following:
1. ${p}^{4} + 6 q$ is "the sum of ${p}^{4}$ and $6 q$".
2. ${p}^{4}$ is "$p$ raised to the fourth power".
3. $6 q$ is "$6$ times $q$" or "$6$ multiplied by $q$".

After we have expanded all the operators, we can combine them to obtain the final expression:

"The sum of $p$ raised to the fourth power and $6$ times $q$."