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If (x=2^9\times3^4\times5^7) and (y=2^6\times5^5\times11^3), what will be the power of 5 in (xy)?
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Answer and explanation
Correct answer: 12
Step 1: In (xy), powers with the same base 5 are added. Step 2: The power of 5 in (x) is 7 and in (y) is 5. Step 3: The total power is (7+5=12).
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
Step 1: In (xy), powers with the same base 5 are added. Step 2: The power of 5 in (x) is 7 and in (y) is 5. Step 3: The total power is (7+5=12).
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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