a) $\sqrt[3]-125 = \sqrt[3](-5)^3 = -5$ b) $\sqrt[4]625 = \sqrt[4]5^4 = 5$ $625 = 5^4$ $\left. \beginarrayc|c625 & 5\cr125 & 5 \cr25 & 5 \cr5 & 5 \cr1\endarray \right.$ c) $\sqrt[4]10000 = \sqrt[4]2^4 \cdot 5^4 = 2 \cdot 5 = 10$ $1000 = 2^4\cdot5^4$ $\left. \beginarrayc|c10000 (…)