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If (20736=2^m\times3^4), what is the value of (m)?
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Answer and explanation
Correct answer: 8
Step 1: (20736) can be written as (256\times81). Step 2: (256=2^8) and (81=3^4), so (20736=2^8\times3^4). Step 3: Comparing gives (m=8).
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Step 1: (20736) can be written as (256\times81). Step 2: (256=2^8) and (81=3^4), so (20736=2^8\times3^4). Step 3: Comparing gives (m=8).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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