Answer:
The answer to your question is below
Explanation:
1.- ∛27² = ∛729 = ∛ 3⁶ = 3⁶/³ = 3² = 9
Find the prime factors
729 3
243 3
81 3
27 3
9 3
3 3
1
2.- 64²/³ = ∛64² = ∛4096 = ∛ 2¹² = 2¹²/³ = 2⁴ = 16
3.- (∛3375)² = ∛3⁶5⁶ = 3⁶/³ 5⁶/³ = 3² 5² = 9 x 25 = 225
4.- (2744)² ¹/³ = ∛2744² = ∛7529536 = ∛2⁶7⁶ = 2⁶/³ 7⁶/³ = 2² 7² = 4 x 49 = 196
5.- 125²/³ = ∛ 15625 = 5⁶/³ = 5² = 25
6.- ∛4096² = ∛16777216 = 2²⁴/³ = 2⁸ = 256