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If (a=2^5\times3^4\times7^2) and (b=2^2\times3^6\times5), what will be the power of 3 in (ab)?
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Answer and explanation
Correct answer: 10
Step 1: In multiplication, exponents of the same prime base are added. Step 2: The power of 3 in (a) is 4 and in (b) is 6. Step 3: In (ab), the power of 3 will be (4+6=10).
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
Step 1: In multiplication, exponents of the same prime base are added. Step 2: The power of 3 in (a) is 4 and in (b) is 6. Step 3: In (ab), the power of 3 will be (4+6=10).
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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