If (x=2^5\times3^2\times7^3) and (y=2^3\times5\times7^4), what will be the power of 7 in (xy)?
Answer and explanation
Correct answer: 7
Step 1: In multiplication, exponents of the same prime base are added. Step 2: The power of 7 in (x) is 3 and in (y) is 4. Step 3: In (xy), the power of 7 is (3+4=7).
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Step 1: In multiplication, exponents of the same prime base are added. Step 2: The power of 7 in (x) is 3 and in (y) is 4. Step 3: In (xy), the power of 7 is (3+4=7).
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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