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If the HCF of two numbers is (64) and their LCM is (5120), what will be the total power of (2) in their product?
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Answer and explanation
Correct answer: (15)
Step 1: (64=2^6) and (5120=2^{10}\times5). Step 2: Product equals HCF times LCM, so the power of (2) is (6+10=16). Step 3: Add exponents when multiplying powers with the same base.
Frequently asked questions
What is the correct answer to this question?
(15)
Why is this the correct answer?
Step 1: (64=2^6) and (5120=2^{10}\times5). Step 2: Product equals HCF times LCM, so the power of (2) is (6+10=16). Step 3: Add exponents when multiplying powers with the same base.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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