If (m=2^5\times3^2\times7) and (n=2^2\times3^4\times7^3), what is the power of 3 in the HCF of (m) and (n)?

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Answer and explanation

Correct answer: 2

Step 1: In HCF, take the smaller power. Step 2: The powers of 3 are 2 and 4. Step 3: The smaller power is 2, so the answer is 2.

What is the correct answer to this question?

2

Why is this the correct answer?

Step 1: In HCF, take the smaller power. Step 2: The powers of 3 are 2 and 4. Step 3: The smaller power is 2, so the answer is 2.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

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