If \(y\ne0\), which of the following statements correctly represents the power of a quotient law?
Answer and explanation
Correct answer: \(\left(\frac{x}{y}\right)^n=\frac{x^n}{y^n}\)
When a quotient is raised to a power, the exponent applies to both numerator and denominator: \(\left(\frac{x}{y}\right)^n=\frac{x^n}{y^n}\). In B, the denominator lacks the exponent. Exam tip: apply the power to every factor.
Frequently asked questions
What is the correct answer to this question?
\(\left(\frac{x}{y}\right)^n=\frac{x^n}{y^n}\)
Why is this the correct answer?
When a quotient is raised to a power, the exponent applies to both numerator and denominator: \(\left(\frac{x}{y}\right)^n=\frac{x^n}{y^n}\). In B, the denominator lacks the exponent. Exam tip: apply the power to every factor.
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.
