If (31104=2^7\times3^b), what is the value of (b)?

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Answer and explanation

Correct answer: 5

Step 1: Write (31104=128\times243). Step 2: (128=2^7) and (243=3^5), so (31104=2^7\times3^5). Step 3: Comparing with the given form gives (b=5).

What is the correct answer to this question?

5

Why is this the correct answer?

Step 1: Write (31104=128\times243). Step 2: (128=2^7) and (243=3^5), so (31104=2^7\times3^5). Step 3: Comparing with the given form gives (b=5).

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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