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

Question

Kennedy Adams · Accepted Answer

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

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 #ab#. We leave the operands like the numbers and symbols intact, not the operators like #+#, #-#, # imes#, 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+6q# is "the sum of #p^4# and #6q#". 2. #p^4# is "#p# raised to the fourth power". 3. #6q# 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#."

Eva Abramson · Answer

undefined To write a verbal expression for the algebraic expression $p^4 + 6q$, you would say "the fourth power of $p$ plus six times $q$."