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If (a=2^5\times3^2\times7) and (b=2^3\times3^4\times5), what will be the power of 3 in (ab)?
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Answer and explanation
Correct answer: 6
Step 1: In multiplication, powers of the same prime base are added. Step 2: The power of 3 in (a) is 2 and in (b) is 4. Step 3: In (ab), the power of 3 will be (2+4=6).
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Step 1: In multiplication, powers of the same prime base are added. Step 2: The power of 3 in (a) is 2 and in (b) is 4. Step 3: In (ab), the power of 3 will be (2+4=6).
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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