If (127008=2^a\times3^4\times7^2), what is the value of (a)?

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Answer and explanation

Correct answer: 5

Step 1: (127008=32\times3969). Step 2: (32=2^5) and (3969=3^4\times7^2), so the power of 2 is 5. Step 3: Comparing gives (a=5).

What is the correct answer to this question?

5

Why is this the correct answer?

Step 1: (127008=32\times3969). Step 2: (32=2^5) and (3969=3^4\times7^2), so the power of 2 is 5. Step 3: Comparing gives (a=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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