Answer :
Sure! Let's classify the expression [tex]\(7x^6\)[/tex].
1. Understanding Terms: In algebra, a term is a number, a variable, or the product of numbers and variables. For example, [tex]\(3x\)[/tex], [tex]\(5yz^2\)[/tex], and [tex]\(7\)[/tex] are all single terms.
2. Definition of a Monomial: A monomial is an expression that consists of only one term. This term can have a coefficient (like 7 in this case) and variables raised to whole number powers (like [tex]\(x^6\)[/tex]).
3. Analyzing the Given Expression:
- The expression [tex]\(7x^6\)[/tex] is written in the form of a constant 7 (the coefficient) multiplied by the variable [tex]\(x\)[/tex] raised to the power of 6.
- It represents only one entity or product.
4. Classification: Because [tex]\(7x^6\)[/tex] consists of just one term, it fits the definition of a monomial.
Therefore, the expression [tex]\(7x^6\)[/tex] is classified as a monomial.
1. Understanding Terms: In algebra, a term is a number, a variable, or the product of numbers and variables. For example, [tex]\(3x\)[/tex], [tex]\(5yz^2\)[/tex], and [tex]\(7\)[/tex] are all single terms.
2. Definition of a Monomial: A monomial is an expression that consists of only one term. This term can have a coefficient (like 7 in this case) and variables raised to whole number powers (like [tex]\(x^6\)[/tex]).
3. Analyzing the Given Expression:
- The expression [tex]\(7x^6\)[/tex] is written in the form of a constant 7 (the coefficient) multiplied by the variable [tex]\(x\)[/tex] raised to the power of 6.
- It represents only one entity or product.
4. Classification: Because [tex]\(7x^6\)[/tex] consists of just one term, it fits the definition of a monomial.
Therefore, the expression [tex]\(7x^6\)[/tex] is classified as a monomial.
