If (627264=2^a\times3^4\times11^2), what is the value of (a)?
Answer and explanation
Correct answer: 6
Step 1: Write (627264=64\times9801). Step 2: (64=2^6) and (9801=3^4\times11^2), so the power of 2 is 6. Step 3: From the given form, (a=6).
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Step 1: Write (627264=64\times9801). Step 2: (64=2^6) and (9801=3^4\times11^2), so the power of 2 is 6. Step 3: From the given form, (a=6).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.