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What is the value of (5^5 \div 5^3)?
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Answer and explanation
Correct answer: 25
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(5^5 \div 5^3=5^{5-3}=5^2=25\), so option D is correct. Exam tip: For division with the same base, subtract the exponents rather than multiplying them.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(5^5 \div 5^3=5^{5-3}=5^2=25\), so option D is correct. Exam tip: For division with the same base, subtract the exponents rather than multiplying them.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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