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Subjects
Class 10MathematicsReal NumbersPrime FactorisationMediumLevel 9
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If (3888=2^p\times3^5), what is the value of (p)?

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Answer and explanation

Correct answer: 4

Step 1: Write (3888=16\times243). Step 2: (16=2^4) and (243=3^5), so the power of 2 is 4. Step 3: Comparing gives (p=4).

Related tags

Exponent-ComparisonNumber-3888Medium

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Step 1: Write (3888=16\times243). Step 2: (16=2^4) and (243=3^5), so the power of 2 is 4. Step 3: Comparing gives (p=4).

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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