If (x=2^7\times5^4\times11^2) and (y=2^2\times3^3\times5^3\times11), what will be the power of 11 in (xy)?
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Answer and explanation
Correct answer: 3
Step 1: Powers of the same base 11 are added in multiplication. Step 2: The power of 11 in (x) is 2 and in (y) is 1. Step 3: The total power will be (2+1=3).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Step 1: Powers of the same base 11 are added in multiplication. Step 2: The power of 11 in (x) is 2 and in (y) is 1. Step 3: The total power will be (2+1=3).
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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