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If (x=2^5\times3^6\times5^4) and (y=2^7\times3^3\times5^5), how many prime factors will (xy) have if repetition is counted?
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Answer and explanation
Correct answer: 30
Step 1: In (xy), exponents of the same bases are added. Step 2: Powers become (2^{12}), (3^9), and (5^9). Step 3: Counting with repetition gives (12+9+9=30).
Frequently asked questions
What is the correct answer to this question?
30
Why is this the correct answer?
Step 1: In (xy), exponents of the same bases are added. Step 2: Powers become (2^{12}), (3^9), and (5^9). Step 3: Counting with repetition gives (12+9+9=30).
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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