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Efectúe: M=((34)3)2((3−1)−5)−4343(331)−2M=\frac{\left(\left(3^4\right)^3\right)^2\left(\left(3^{-1}\right)^{-5}\right)^{-4}}{3^{4^3}\left(3^{31}\right)^{-2}}M=343(331)−2((34)3)2((3−1)−5)−4
13\frac{1}{3}31
333
19\frac{1}{9}91
999
Efectúe: S=(457⋅758⋅2259316⋅517)112S=\left(\frac{45^7\cdot75^8\cdot225^9}{3^{16}\cdot5^{17}}\right)^{\frac{1}{12}}S=(316⋅517457⋅758⋅2259)121
15
45
225
125
El valor de: P=243−25−16−4−1P=243^{-25^{-16^{-4^{-1}}}}P=243−25−16−4−1
Si ab=bb=2ab=b^b=2ab=bb=2 , reduzca M=abababM=ab^{ab^{ab}}M=ababab
aaa
4a4a4a
2ab2ab2ab
4b4b4b
Reduzca: P=((−12)−(12)−1−(−18)−3−1+(14)−4−12)13P=\left(\left(-\frac{1}{2}\right)^{-\left(\frac{1}{2}\right)^{-1}}-\left(-\frac{1}{8}\right)^{-3^{-1}}+\left(\frac{1}{4}\right)^{-4^{-\frac{1}{2}}}\right)^{\frac{1}{3}}P=⎝⎛(−21)−(21)−1−(−81)−3−1+(41)−4−21⎠⎞31
555
12\frac{1}{2}21
222
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