How do you simplify this expression? (256/625)^(-3/4)

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(256 / 625) ^-(3/4)

the negative power, -(3/4) can be changed to a positive by placing the expression in the denominator with 1 as the numerator:

1 / ((256 / 625)^(3/4))

Now, the power of 3/4 means that you cube the internal expression and then take the 4th root of that number.  This can be done separately for both the numerator and the denominator of the internal expression:

(256^3)^(1/4) = (256 *...

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