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How many terms are there in the expression to x to the power of 2x²y + 3y x ²?
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How many terms are there in the expression to x to the power of 2x²y +...
Understanding the Expression
The expression given is x^(2x²y + 3xy²). To determine the number of terms in this expression, we need to analyze the components involved.
Components of the Expression
- The expression consists of a single base, which is x.
- The exponent is a polynomial, specifically (2x²y + 3xy²).
Identifying the Terms in the Exponent
- The exponent (2x²y + 3xy²) is a polynomial.
- A polynomial can have multiple terms. Here, we need to identify how many distinct terms are present.
Terms in the Polynomial
- 2x²y is the first term.
- 3xy² is the second term.
Total Number of Terms
- The expression has a total of 2 distinct terms in the exponent.
Conclusion
- Since the base (x) is raised to the exponent (which has 2 terms), the number of terms in the overall expression is determined by the exponent alone.
- Therefore, the expression x^(2x²y + 3xy²) contains 2 terms due to the polynomial in the exponent.
This analysis clarifies that the number of terms in the expression is derived from the polynomial in the exponent rather than the base itself.
The expression given is x^(2x²y + 3xy²). To determine the number of terms in this expression, we need to analyze the components involved.
Components of the Expression
- The expression consists of a single base, which is x.
- The exponent is a polynomial, specifically (2x²y + 3xy²).
Identifying the Terms in the Exponent
- The exponent (2x²y + 3xy²) is a polynomial.
- A polynomial can have multiple terms. Here, we need to identify how many distinct terms are present.
Terms in the Polynomial
- 2x²y is the first term.
- 3xy² is the second term.
Total Number of Terms
- The expression has a total of 2 distinct terms in the exponent.
Conclusion
- Since the base (x) is raised to the exponent (which has 2 terms), the number of terms in the overall expression is determined by the exponent alone.
- Therefore, the expression x^(2x²y + 3xy²) contains 2 terms due to the polynomial in the exponent.
This analysis clarifies that the number of terms in the expression is derived from the polynomial in the exponent rather than the base itself.
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How many terms are there in the expression to x to the power of 2x²y + 3y x ²?
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How many terms are there in the expression to x to the power of 2x²y + 3y x ²? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How many terms are there in the expression to x to the power of 2x²y + 3y x ²? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many terms are there in the expression to x to the power of 2x²y + 3y x ²?.
How many terms are there in the expression to x to the power of 2x²y + 3y x ²? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How many terms are there in the expression to x to the power of 2x²y + 3y x ²? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many terms are there in the expression to x to the power of 2x²y + 3y x ²?.
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