Example

Simplify the following expression so that the answer contains only a single exponent for each variable x and y:

Solution One method begins by simplifying the expression inside the parentheses:

Alternatively, we can also raise all the factors to the power —1/3 and use the relation 625 = 54 to obtain

/ DX y ) _ J * > _ 5-l/3-(-4/3) 2/3-(-4/3) -2/9-4/9

y yip

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