What is the value of (3^7 \div 3^3)?
Answer and explanation
Correct answer: 81
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(3^7 \div 3^3=3^{7-3}=3^4=81\). Hence, option C is correct. Exam tip: subtract exponents in division, whereas exponents are added when multiplying powers with the same base; therefore, 27 and 243 are not correct.
Frequently asked questions
What is the correct answer to this question?
81
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, \(3^7 \div 3^3=3^{7-3}=3^4=81\). Hence, option C is correct. Exam tip: subtract exponents in division, whereas exponents are added when multiplying powers with the same base; therefore, 27 and 243 are not correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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