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If (a=2^6\times3^4\times5^2) and (b=2^2\times3\times5), what is the prime factorised form of (\frac{a}{b})?
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Answer and explanation
Correct answer: (2^4\times3^3\times5)
Step 1: When dividing powers with the same base, subtract exponents. Step 2: (2^{6-2}\times3^{4-1}\times5^{2-1}=2^4\times3^3\times5). Step 3: In division, subtract the smaller exponent from the larger one.
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What is the correct answer to this question?
(2^4\times3^3\times5)
Why is this the correct answer?
Step 1: When dividing powers with the same base, subtract exponents. Step 2: (2^{6-2}\times3^{4-1}\times5^{2-1}=2^4\times3^3\times5). Step 3: In division, subtract the smaller exponent from the larger one.
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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