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Answer :
Let's find the degree of each monomial step by step:
1. For the monomial [tex]\(4g\)[/tex]:
- The variable [tex]\(g\)[/tex] is raised to the power of 1, so the degree of this monomial is 1.
2. For the monomial [tex]\(-\frac{4}{9}\)[/tex]:
- This is a constant term without any variable present, which means it can be considered as [tex]\((- \frac{4}{9}) \times x^0\)[/tex]. The degree of a constant term is always 0.
3. For the monomial [tex]\(-1.75k^2\)[/tex]:
- Here, the variable [tex]\(k\)[/tex] is raised to the power of 2. Therefore, the degree of this monomial is 2.
4. For the monomial [tex]\(23x^4\)[/tex]:
- The variable [tex]\(x\)[/tex] is raised to the power of 4. Hence, the degree of this monomial is 4.
In summary, the degrees of the monomials are:
1. [tex]\(4g\)[/tex] has a degree of 1.
2. [tex]\(-\frac{4}{9}\)[/tex] has a degree of 0.
3. [tex]\(-1.75k^2\)[/tex] has a degree of 2.
4. [tex]\(23x^4\)[/tex] has a degree of 4.
1. For the monomial [tex]\(4g\)[/tex]:
- The variable [tex]\(g\)[/tex] is raised to the power of 1, so the degree of this monomial is 1.
2. For the monomial [tex]\(-\frac{4}{9}\)[/tex]:
- This is a constant term without any variable present, which means it can be considered as [tex]\((- \frac{4}{9}) \times x^0\)[/tex]. The degree of a constant term is always 0.
3. For the monomial [tex]\(-1.75k^2\)[/tex]:
- Here, the variable [tex]\(k\)[/tex] is raised to the power of 2. Therefore, the degree of this monomial is 2.
4. For the monomial [tex]\(23x^4\)[/tex]:
- The variable [tex]\(x\)[/tex] is raised to the power of 4. Hence, the degree of this monomial is 4.
In summary, the degrees of the monomials are:
1. [tex]\(4g\)[/tex] has a degree of 1.
2. [tex]\(-\frac{4}{9}\)[/tex] has a degree of 0.
3. [tex]\(-1.75k^2\)[/tex] has a degree of 2.
4. [tex]\(23x^4\)[/tex] has a degree of 4.
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