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svetlana [45]
4 years ago
15

Which of the following is equal to the expression below? (160x243)^1/5

Mathematics
1 answer:
Kipish [7]4 years ago
3 0
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of  5)
Answer is D. 6 * (5th root of  5)
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