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