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19 May, 18:29

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

a. 80

b. 96

c. 5 square root 5

d. 6 square root 5

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Answers (1)
  1. 19 May, 19:43
    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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