Find the cube root of 19683 by prime factorization method. Show steps.

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asked Feb 8, 2021 147k views

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Find the cube root of 19683 by prime factorization method. Show steps.

Mathematics
high-school

Tamarintech asked

by Tamarintech

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Answer:

27 is the cube root

Explanation:

Find the cube root of 19683 by prime factorization method. Show steps.-example-1

Joanny answered Feb 9, 2021

by Joanny

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5 votes

Answer:

Explanation:

Given number:

19683

Prime factors of 19683:

19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

Cube root:

∛19683 = ∛3^9 = 3^3 = 27

Adam Miles answered Feb 14, 2021

by Adam Miles

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