If (108900=2^2\times3^2\times5^m\times11^2), what is the value of (m)?

Question

Answer and explanation

Correct answer: 2

Step 1: (108900=900\times121). Step 2: (900=2^2\times3^2\times5^2) and (121=11^2), so the power of 5 is 2. Step 3: Comparing gives (m=2).

What is the correct answer to this question?

2

Why is this the correct answer?

Step 1: (108900=900\times121). Step 2: (900=2^2\times3^2\times5^2) and (121=11^2), so the power of 5 is 2. Step 3: Comparing gives (m=2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.