(x

^{-1/4}y^{2})^{4}-
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(x^{-1/4}y^{2})^{4}

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with exponents it works as follows...

(3*4) ^{6} = 3^{6}*4^{6 }distribute exponents to numbers in parenthesis

(2^{2})^{5} = 2^{(}^{2*5) }multiply exponents when there are exponents parenthesis

2^{-5 }* 3^{3} = 3^{3} /(2^{5}) negative exponent is the same as positive reciprocal

(x^{-1/4}y^{2})^{4}

Do the steps in that order...

1) distribute the 4 to the x and y terms

2) multiply the exponent that is being distributed

3) put the negative power in the denominator as a positive power

(x^{a}y^{b})^{c} = x^{ac}y^{bc}

In your problem, a = -1/4, b = 2, c = 4. Plug them in and see what you get.

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