Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsReal NumbersPrime FactorisationMediumLevel 11

If (N=2^6 \times 7^3), what type of number is (N)?

Advertisement

Answer and explanation

Correct answer: Perfect cube

Step 1: In a perfect cube, every prime exponent is a multiple of (3). Step 2: Both (6) and (3) are multiples of (3), so (N) is a perfect cube. Step 3: For a perfect cube, check exponents using (3).

Tags

real-numbersperfect-cubeprime-factorisation

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, every prime exponent is a multiple of (3). Step 2: Both (6) and (3) 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.

Report question
Advertisement