In which expression is the power of x equal to 1 and the power of y equal to 2?
Answer and explanation
Correct answer: xy²
When a variable is written without a visible exponent, its exponent is understood to be 1. In xy², x therefore has power 1 and y has power 2, exactly as required. Option B is correct. In x²y, the powers are 2 and 1; in x²y² both are 2; and in xy both powers are 1, so the other expressions do not satisfy both conditions.
Frequently asked questions
What is the correct answer to this question?
xy²
Why is this the correct answer?
When a variable is written without a visible exponent, its exponent is understood to be 1. In xy², x therefore has power 1 and y has power 2, exactly as required. Option B is correct. In x²y, the powers are 2 and 1; in x²y² both are 2; and in xy both powers are 1, so the other expressions do not satisfy both conditions.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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