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If (22050=2\times3^b\times5^2\times7^2), what is the value of (b)?

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Answer and explanation

Correct answer: 2

Step 1: Write (22050=450\times49). Step 2: (450=2\times3^2\times5^2) and (49=7^2), so the power of 3 is 2. Step 3: Comparing with the given form gives (b=2).

Related tags

Exponent-ComparisonNumber-22050Hard

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

Step 1: Write (22050=450\times49). Step 2: (450=2\times3^2\times5^2) and (49=7^2), so the power of 3 is 2. Step 3: Comparing with the given form gives (b=2).

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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