Answer
$\text{Degree of Term 1: }
2
\\\text{Degree of Term 2: }
8
\\\text{Degree of Term 3: }
1
\\\text{Degree of Term 4: }
0
\\\text{Degree of the Polynomial: }
8$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the definition of the degree of a term and the definition of the degree of a polynomial for the given polynomial, $
\dfrac{2}{3}gh+\dfrac{1}{4}g^3h^5-\dfrac{2}{9}g+7
.$
$\bf{\text{Solution Details:}}$
The degree of a term is the sum of the exponents of the variables in the term. Hence, the degree of each term in the given polynomial expression above is
\begin{array}{l}\require{cancel}
\text{Term 1: }
1+1=2
\\\text{Term 2: }
3+5=8
\\\text{Term 3: }
1
\\\text{Term 4: }
0
.\end{array}
The degree of a polynomial is the highest degree among all the terms.
Hence, the given polynomial has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Degree of Term 1: }
2
\\\text{Degree of Term 2: }
8
\\\text{Degree of Term 3: }
1
\\\text{Degree of Term 4: }
0
\\\text{Degree of the Polynomial: }
8
.\end{array}