Using the property of the cube root, which states that ∛(a ×b) = ∛a × ∛b, we can apply it to the expression:
∛(32768 × 2197) = ∛32768 × ∛2197
To simplify the expression:
∛32768 = 32 (since 32 × 32 × 32 = 32768)
∛2197 = 13 (since 13 × 13 × 13 = 2197)
Substituting these values back into the expression:
∛(32768 × 2197) = 32 × 13 = 416
Therefore, the cube root of 32,768 multiplied by the cube root of 2,197 is equal to 416.
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Answer:
Using the property of the cube root, which states that ∛(a ×b) = ∛a × ∛b, we can apply it to the expression:
∛(32768 × 2197) = ∛32768 × ∛2197
To simplify the expression:
∛32768 = 32 (since 32 × 32 × 32 = 32768)
∛2197 = 13 (since 13 × 13 × 13 = 2197)
Substituting these values back into the expression:
∛(32768 × 2197) = 32 × 13 = 416
Therefore, the cube root of 32,768 multiplied by the cube root of 2,197 is equal to 416.