What is the value of (\frac{5^8}{5^3})?
Answer and explanation
Correct answer: \(5^5\)
For division of powers with the same base, use \(\frac{a^m}{a^n}=a^{m-n}\). Thus, \(\frac{5^8}{5^3}=5^{8-3}=5^5\), so option C is correct. In option A, the exponent has been incorrectly taken as 6, while \(25^3=5^6\), making option D incorrect as well. In an exam, remember to subtract exponents only when the bases are the same.
Frequently asked questions
What is the correct answer to this question?
\(5^5\)
Why is this the correct answer?
For division of powers with the same base, use \(\frac{a^m}{a^n}=a^{m-n}\). Thus, \(\frac{5^8}{5^3}=5^{8-3}=5^5\), so option C is correct. In option A, the exponent has been incorrectly taken as 6, while \(25^3=5^6\), making option D incorrect as well. In an exam, remember to subtract exponents only when the bases are the same.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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