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Answer :
To find the degree of the monomial [tex]\(23x^4\)[/tex], follow these steps:
1. Identify the variable and its exponent: In the given monomial [tex]\(23x^4\)[/tex], the variable is [tex]\(x\)[/tex] and the exponent is [tex]\(4\)[/tex].
2. Determine the highest power of the variable: The degree of a monomial is defined as the highest power of the variable present in the expression. Here, the exponent of [tex]\(x\)[/tex] is [tex]\(4\)[/tex].
3. Conclude the degree: Since the highest power of [tex]\(x\)[/tex] in the monomial is [tex]\(4\)[/tex], the degree of the monomial [tex]\(23x^4\)[/tex] is [tex]\(4\)[/tex].
Therefore, the degree is [tex]\(\boxed{4}\)[/tex].
1. Identify the variable and its exponent: In the given monomial [tex]\(23x^4\)[/tex], the variable is [tex]\(x\)[/tex] and the exponent is [tex]\(4\)[/tex].
2. Determine the highest power of the variable: The degree of a monomial is defined as the highest power of the variable present in the expression. Here, the exponent of [tex]\(x\)[/tex] is [tex]\(4\)[/tex].
3. Conclude the degree: Since the highest power of [tex]\(x\)[/tex] in the monomial is [tex]\(4\)[/tex], the degree of the monomial [tex]\(23x^4\)[/tex] is [tex]\(4\)[/tex].
Therefore, the degree is [tex]\(\boxed{4}\)[/tex].
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