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Consider the expression (3)/(2)x^(2)y-(1...

Consider the expression `(3)/(2)x^(2)y-(1)/(2)xy^(2)+6x^(2)y^(2)`
In the term `-(1)/(2)xy^(2)`, write down the numerical coefficient and the literal coefficient.

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The correct Answer is:
To solve the question, we need to identify the numerical and literal coefficients in the term \(-\frac{1}{2}xy^2\). ### Step-by-Step Solution: 1. **Identify the term**: The term we are focusing on is \(-\frac{1}{2}xy^2\). 2. **Find the numerical coefficient**: The numerical coefficient is the constant factor in front of the variables. In this case, it is \(-\frac{1}{2}\). 3. **Identify the literal coefficients**: The literal coefficients are the variable parts of the term. In this case, the term consists of two variables: \(x\) and \(y^2\). 4. **List the literal coefficients**: - The literal coefficient for \(x\) is \(x\). - The literal coefficient for \(y^2\) is \(y^2\). ### Final Answer: - **Numerical Coefficient**: \(-\frac{1}{2}\) - **Literal Coefficients**: \(x\) and \(y^2\)
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