Which of the following is a like term of (y^3)?
Answer and explanation
Correct answer: (7y^3)
To identify a like term, compare the variable part carefully. The variable itself and every exponent must be identical; the coefficient may change. The reference term \(y^3\) contains the variable \(y\) raised to the third power. Therefore a like term must also have exactly \(y^3\), even if a different number is placed before it.
Option A is \(7y^3\), so it has the required variable and exponent and differs only in coefficient. Option B has exponent 2, option C has exponent 4, and option D uses \(x\) instead of \(y\). None of those can be combined with \(y^3\) as like terms. Hence option A is the correct choice.
Frequently asked questions
What is the correct answer to this question?
(7y^3)
Why is this the correct answer?
To identify a like term, compare the variable part carefully. The variable itself and every exponent must be identical; the coefficient may change. The reference term \(y^3\) contains the variable \(y\) raised to the third power. Therefore a like term must also have exactly \(y^3\), even if a different number is placed before it.
Option A is \(7y^3\), so it has the required variable and exponent and differs only in coefficient. Option B has exponent 2, option C has exponent 4, and option D uses \(x\) instead of \(y\). None of those can be combined with \(y^3\) as like terms. Hence option A is the correct choice.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
