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23 July, 06:59

What root of x does the expression (x^3/8) ^2/3 yield?

square root

cube root

fourth root

eighth root

+4
Answers (1)
  1. 23 July, 10:11
    0
    The rule for exponents of exponents is:

    a^b^c=a^ (b*c), in this case:

    x^ (3/8) ^ (2/3)

    x^ ((3/8) * (2/3))

    x^ (6/24)

    x^ (1/4)

    So x^ (1/4) is equal to the fourth root.
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