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attashe74 [19]
4 years ago
10

Match each whole number with a rational, exponential expression.

Mathematics
1 answer:
bekas [8.4K]4 years ago
7 0

Answer:

The answer to your question is below

Step-by-step 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

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