Find the cube root of 4096 is ____.

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Detailed Solution

Concept- The cube root of 4096 is 16. By using the prime factorization technique, we will determine the cube root. The concept of prime factorization, which is defined as prime numbers multiplied together to create the original number, will now be clear to us. After that, we will identify the number's components and divide it into triplets in order to get its cube root. For instance, writing 27 as 333 will allow us to determine its cube root. The cube root is hence 3. In a similar manner, we will determine the number's cube root.
Prime factors of 4096-

4,096 in the form of product of prime factors:

Hence, cube root of 4096 is 16 .

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