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The value of $64 × 729 3 =$ [[1]].

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Detailed Solution

The value of

64 × 729 3 = 36.

Given,

64 × 729 3 .

To find the cube of any number, first, find the factorization of that number, then group all the factors in triplet form.
Find the prime factorization of 64 and 729.

2642322162824221

3729324338132739331

Prime factorization of 729 and 64 are given as:

64 = 2 × 2 × 2 × 2 × 2 × 2 729 = 3 × 3 × 3 × 3 × 3 × 3

Find the cube root by grouping all the factors.
Question Image

Therefore, the value of the cube root

64 × 729 3 = 36.

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