If (y\ne 0) , what is the simplified form of (\frac{y^9}{y^4}) ?
Answer and explanation
Correct answer: \(y^5\)
When powers with the same base are divided, their exponents are subtracted: \(\frac{y^9}{y^4}=y^{9-4}=y^5\). Hence, option A is correct. Option D reverses the subtraction, while options B and C result from adding or multiplying the exponents. Exam tip: use \(\frac{a^m}{a^n}=a^{m-n}\) for \(a\ne0\).
Frequently asked questions
What is the correct answer to this question?
\(y^5\)
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: \(\frac{y^9}{y^4}=y^{9-4}=y^5\). Hence, option A is correct. Option D reverses the subtraction, while options B and C result from adding or multiplying the exponents. Exam tip: use \(\frac{a^m}{a^n}=a^{m-n}\) for \(a\ne0\).
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.
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