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What is the exponent of (3) in the prime factorisation of (729)?
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Answer and explanation
Correct answer: 6
Step 1: (729=27 \times 27). Step 2: Since (27=3^3), (729=3^3 \times 3^3=3^6). Step 3: For larger powers, split the number into familiar cubes.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Step 1: (729=27 \times 27). Step 2: Since (27=3^3), (729=3^3 \times 3^3=3^6). Step 3: For larger powers, split the number into familiar cubes.
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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