Compute:
(625)−34(625)^{-\dfrac{3}{4}}(625)−43
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(625)−34=(5)−4×34=(5)−3=[15]3=1125(625)^{-\dfrac{3}{4}}\\[1em] = (5)^{-4 \times \dfrac{3}{4}}\\[1em] = (5)^{-3}\\[1em] = \Big[\dfrac{1}{5}\Big]^3\\[1em] = \dfrac{1}{125}(625)−43=(5)−4×43=(5)−3=[51]3=1251
(625)−34=1125(625)^{-\dfrac{3}{4}} = \dfrac{1}{125}(625)−43=1251
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