What is expansion of ((ab)^2)
Answer and explanation
Correct answer: \(a^2b^2\)
The power of a product follows the rule \((xy)^n=x^ny^n\). Therefore, \((ab)^2=a^2b^2\), so option A is correct. Options B and C apply the exponent to only one variable, while option D incorrectly changes multiplication into addition. Exam tip: when a product is raised to a power, apply that power to every factor.
Frequently asked questions
What is the correct answer to this question?
\(a^2b^2\)
Why is this the correct answer?
The power of a product follows the rule \((xy)^n=x^ny^n\). Therefore, \((ab)^2=a^2b^2\), so option A is correct. Options B and C apply the exponent to only one variable, while option D incorrectly changes multiplication into addition. Exam tip: when a product is raised to a power, apply that power to every factor.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
