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It is D, Nancy Reynolds from Chicago.
The denominator of the exponent is the index of the radical, the base of the exponent is the base of the radical, and the numerator of the exponent is the exponent of the radicand.
![8^{\frac{9}{5}}= \sqrt[5]{8^9}](https://tex.z-dn.net/?f=8%5E%7B%5Cfrac%7B9%7D%7B5%7D%7D%3D%20%5Csqrt%5B5%5D%7B8%5E9%7D%20)
The denominator of the exponent is the index of the radical, the base of the exponent is the base of the radical, and the numerator of the exponent is the exponent of the radicand.