What is the value of (30^2 \div 30^1)?
Answer and explanation
Correct answer: 30
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(30^2 \div 30^1=30^{2-1}=30^1=30\), so option A is correct. Option B, 900, is only the value of \(30^2\), not the result after division. Exam tip: for division of powers with the same base, keep the base unchanged and subtract the exponents.
Frequently asked questions
What is the correct answer to this question?
30
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, \(30^2 \div 30^1=30^{2-1}=30^1=30\), so option A is correct. Option B, 900, is only the value of \(30^2\), not the result after division. Exam tip: for division of powers with the same base, keep the base unchanged and subtract the exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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