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Answer :
To determine the coefficient and the degree of the monomial [tex]\(7x^6\)[/tex], let's break down the expression step by step:
1. Identify the structure of the monomial:
- A monomial is an algebraic expression consisting of a single term. It typically has both a numerical part (called the coefficient) and a variable part (possibly raised to a power).
2. Identify the coefficient:
- The coefficient is the numerical part of the monomial. In the expression [tex]\(7x^6\)[/tex], the number in front of the variable [tex]\(x\)[/tex] is [tex]\(7\)[/tex]. Thus, the coefficient of the monomial is [tex]\(7\)[/tex].
3. Identify the exponent (degree) of the variable:
- The degree of the monomial is the exponent of the variable. Here, the variable [tex]\(x\)[/tex] is raised to the power of [tex]\(6\)[/tex]. Therefore, the degree of the monomial is [tex]\(6\)[/tex].
Putting all this together, the coefficient of the monomial [tex]\(7x^6\)[/tex] is [tex]\(7\)[/tex] and its degree is [tex]\(6\)[/tex].
1. Identify the structure of the monomial:
- A monomial is an algebraic expression consisting of a single term. It typically has both a numerical part (called the coefficient) and a variable part (possibly raised to a power).
2. Identify the coefficient:
- The coefficient is the numerical part of the monomial. In the expression [tex]\(7x^6\)[/tex], the number in front of the variable [tex]\(x\)[/tex] is [tex]\(7\)[/tex]. Thus, the coefficient of the monomial is [tex]\(7\)[/tex].
3. Identify the exponent (degree) of the variable:
- The degree of the monomial is the exponent of the variable. Here, the variable [tex]\(x\)[/tex] is raised to the power of [tex]\(6\)[/tex]. Therefore, the degree of the monomial is [tex]\(6\)[/tex].
Putting all this together, the coefficient of the monomial [tex]\(7x^6\)[/tex] is [tex]\(7\)[/tex] and its degree is [tex]\(6\)[/tex].
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