What is the value of (3^7 \div 3^5)?
Answer and explanation
Correct answer: 9
When powers with the same base are divided, subtract the exponents: \(3^7 \div 3^5 = 3^{7-5}=3^2=9\). Therefore, 9 is correct. 27 equals \(3^3\), which does not use the correct difference of exponents. Exam tip: use \(a^m \div a^n=a^{m-n}\) only when the bases are the same and non-zero.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
When powers with the same base are divided, subtract the exponents: \(3^7 \div 3^5 = 3^{7-5}=3^2=9\). Therefore, 9 is correct. 27 equals \(3^3\), which does not use the correct difference of exponents. Exam tip: use \(a^m \div a^n=a^{m-n}\) only when the bases are the same and non-zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
