What is the value of (16^2\div2^6)?
Answer and explanation
Correct answer: 4
Since 16 = 2^4, we get 16^2 = (2^4)^2 = 2^8. Using the quotient rule for powers with the same base, 2^8 ÷ 2^6 = 2^(8−6) = 2^2 = 4. Therefore, the correct answer is 4. Exam tip: When dividing powers with the same base, subtract the exponents.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Since 16 = 2^4, we get 16^2 = (2^4)^2 = 2^8. Using the quotient rule for powers with the same base, 2^8 ÷ 2^6 = 2^(8−6) = 2^2 = 4. Therefore, the correct answer is 4. Exam tip: When dividing powers with the same base, subtract the exponents.
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.