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If (x=2^6\times3^7\times5^5) and (y=2^8\times3^4\times5^6), how many prime factors will (xy) have if repetition is counted?
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Answer and explanation
Correct answer: 36
Step 1: In (xy), exponents of the same bases are added. Step 2: Powers become (2^{14}), (3^{11}), and (5^{11}). Step 3: Counting with repetition gives (14+11+11=36).
Frequently asked questions
What is the correct answer to this question?
36
Why is this the correct answer?
Step 1: In (xy), exponents of the same bases are added. Step 2: Powers become (2^{14}), (3^{11}), and (5^{11}). Step 3: Counting with repetition gives (14+11+11=36).
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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