Find the cube root of 46656 by the prime factorization method.

Answer: ³√46656 = 36

By prime factorization method, we get

46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

Taking the cube root on both the side, we get

³√46656 = ³√2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

³√46656 = 2 × 2 × 3 × 3

³√46656 = 36