If (N=2^3 \times 5^6), what type of number is (N)?
Answer and explanation
Correct answer: Perfect cube
Step 1: In a perfect cube, all prime exponents are multiples of (3). Step 2: Both (3) and (6) are multiples of (3), so (N) is a perfect cube. Step 3: For a perfect cube, check exponents using (3).
Frequently asked questions
What is the correct answer to this question?
Perfect cube
Why is this the correct answer?
Step 1: In a perfect cube, all prime exponents are multiples of (3). Step 2: Both (3) and (6) are multiples of (3), so (N) is a perfect cube. Step 3: For a perfect cube, check exponents using (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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