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If (a=2^3\times3\times5) and (b=2^2\times3^2\times5^2), what is the prime factorised form of (a\times b)?
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Answer and explanation
Correct answer: (2^5\times3^3\times5^3)
Step 1: When multiplying powers with the same prime base, add exponents. Step 2: (2^{3+2}\times3^{1+2}\times5^{1+2}=2^5\times3^3\times5^3). Step 3: Add exponents for multiplication with the same base.
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What is the correct answer to this question?
(2^5\times3^3\times5^3)
Why is this the correct answer?
Step 1: When multiplying powers with the same prime base, add exponents. Step 2: (2^{3+2}\times3^{1+2}\times5^{1+2}=2^5\times3^3\times5^3). Step 3: Add exponents for multiplication with the same base.
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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