After solving the expression ∛ (27 • 250), we get that option (C) 15 ∛2 is the correct option.
We are given the expression:
(27 • 250)^1/3
We need to evaluate the expression.
We can also write this expression as:
∛ (27 • 250)
First we will make factors of 27 and 250:
27 = 3 × 3 × 3
250 = 2 × 5 × 5 × 5
Now, we can write the expression as:
∛2 × 3 × 3 × 3 × 5 × 5 × 5
Now solving the cube root we get that:
= 3 × 5 × ∛2
= 15 ∛2
Therefore, after solving the expression ∛ (27 • 250), we get that option (C) 15 ∛2 is the correct option.
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