If \(r\neq 0\), what is the simplified form of \(\frac{r^{10}}{r^6}\)?
Answer and explanation
Correct answer: \(r^4\)
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{r^{10}}{r^6}=r^{10-6}=r^4\). Therefore, option A is correct. Option B results from adding the exponents, a rule used for multiplication rather than division. Exam tip: remember \(\frac{a^m}{a^n}=a^{m-n}\) for \(a\neq0\).
Frequently asked questions
What is the correct answer to this question?
\(r^4\)
Why is this the correct answer?
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{r^{10}}{r^6}=r^{10-6}=r^4\). Therefore, option A is correct. Option B results from adding the exponents, a rule used for multiplication rather than division. Exam tip: remember \(\frac{a^m}{a^n}=a^{m-n}\) for \(a\neq0\).
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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