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You subtract exponents when dividing. \[\frac{ 7 }{ 8 }-\frac{ 1 }{ 4 }\] So you need to get like terms. \[\frac{ 7 }{ 8 }-\frac{ 2 }{ 8 }\] Then you solve. \[\frac{ 5 }{ 8 }\] The base number stays the same, but this is your new exponent. \[2^{\frac{ 5 }{ 8 }}\] The bottom number is how many roots you take. The top number is how many times you multiply the base number by. \[\sqrt[8]{2^{5}}\] So the answer is A.
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