What is the simplified form of the quotient \(15^6 \div 15^2\)?
Answer and explanation
Correct answer: \(15^4\)
When powers with the same non-zero base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Thus, \(15^6 \div 15^2=15^{6-2}=15^4\), so option A is correct. Option B results from adding the exponents, which is the rule for multiplication, not division. Exam tip: subtract exponents for division and add them for multiplication when the bases are the same.
Frequently asked questions
What is the correct answer to this question?
\(15^4\)
Why is this the correct answer?
When powers with the same non-zero base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Thus, \(15^6 \div 15^2=15^{6-2}=15^4\), so option A is correct. Option B results from adding the exponents, which is the rule for multiplication, not division. Exam tip: subtract exponents for division and add them for multiplication when the bases are the same.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
