What is expansion of ( (x y z)^2 )
Answer and explanation
Correct answer: x^2 y^2 z^2
By the law of exponents, \((xyz)^n=x^n y^n z^n\). Therefore, \((xyz)^2=x^2y^2z^2\), so option A is correct. In option B, the exponent has been applied only to z, whereas it must apply to every factor. Exam tip: when a power is applied to a product, apply the same power to each factor.
Frequently asked questions
What is the correct answer to this question?
x^2 y^2 z^2
Why is this the correct answer?
By the law of exponents, \((xyz)^n=x^n y^n z^n\). Therefore, \((xyz)^2=x^2y^2z^2\), so option A is correct. In option B, the exponent has been applied only to z, whereas it must apply to every factor. Exam tip: when a power is applied to a product, apply the same power to each factor.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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