Determine the degree of each term.
$8p^4{q}^3$

• A. $3$
• B. $4$
• C. $12$
• D. $7$

Answer: (D)

Verified step by step guidance

1. Identify each term in the expression. The terms given are: \$8p^{4}q^{3}\(, \)3\(, \)4\(, and \)12$.
2. Recall that the degree of a term with variables is the sum of the exponents of all variables in that term. Constants (numbers without variables) have a degree of 0.
3. For the term \$8p^{4}q^{3}\(, add the exponents of \)p\( and \)q\(: \)4 + 3$.
4. For the constants \$3\(, \)4\(, and \)12\(, since there are no variables, their degree is \)0$.
5. Sum the degrees of all terms: degree of \$8p^{4}q^{3}\( plus degrees of \)3\(, \)4\(, and \)12$. This will give the total degree of the expression.