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If (a \neq 0), (a \neq 1), and (\dfrac{a^5}{a^k}=a^2), what is the value of (k)?
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Answer and explanation
Correct answer: (,3,)
(\dfrac{a^5}{a^k}=a^{5-k}), so (5-k=2) and (k=3). In exams, subtract exponents using the division law.
Frequently asked questions
What is the correct answer to this question?
(,3,)
Why is this the correct answer?
(\dfrac{a^5}{a^k}=a^{5-k}), so (5-k=2) and (k=3). In exams, subtract exponents using the division law.
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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