Respuestas
Respuesta dada por:
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Observación:
*![N^\frac{a}{b} = \sqrt[b]{N^a} N^\frac{a}{b} = \sqrt[b]{N^a}](https://tex.z-dn.net/?f=N%5E%5Cfrac%7Ba%7D%7Bb%7D+%3D++%5Csqrt%5Bb%5D%7BN%5Ea%7D+)
*
Ahora, resolvamos el ejercicio:
![(-243)^{0.6} + 1/27 = (-243)^\frac{3}{5} + 1/27
\ \
(-243)^{0.6} + 1/27 = \sqrt[5]{-243^3} + 1/27
\ \
(-243)^{0.6} + 1/27 = \sqrt[5]{((-3)^5)^3} + 1/27
\ \
(-243)^{0.6} + 1/27 = (-3)^3 + 1/27
\ \
(-243)^{0.6} + 1/27 = -27 + 1/27 = -728/27 \approx -26.96 (-243)^{0.6} + 1/27 = (-243)^\frac{3}{5} + 1/27
\ \
(-243)^{0.6} + 1/27 = \sqrt[5]{-243^3} + 1/27
\ \
(-243)^{0.6} + 1/27 = \sqrt[5]{((-3)^5)^3} + 1/27
\ \
(-243)^{0.6} + 1/27 = (-3)^3 + 1/27
\ \
(-243)^{0.6} + 1/27 = -27 + 1/27 = -728/27 \approx -26.96](https://tex.z-dn.net/?f=%28-243%29%5E%7B0.6%7D+%2B+1%2F27+%3D+%28-243%29%5E%5Cfrac%7B3%7D%7B5%7D+%2B+1%2F27+%0A%0A%5C+%5C+%0A%0A%28-243%29%5E%7B0.6%7D+%2B+1%2F27+%3D++%5Csqrt%5B5%5D%7B-243%5E3%7D++%2B+1%2F27%0A%0A%5C+%5C%0A%0A%28-243%29%5E%7B0.6%7D+%2B+1%2F27+%3D+%5Csqrt%5B5%5D%7B%28%28-3%29%5E5%29%5E3%7D++%2B+1%2F27+%0A%0A%5C+%5C%0A%0A%28-243%29%5E%7B0.6%7D+%2B+1%2F27+%3D++%28-3%29%5E3+%2B+1%2F27+%0A%0A%5C+%5C%0A%0A%0A%28-243%29%5E%7B0.6%7D+%2B+1%2F27+%3D+-27+%2B+1%2F27+%3D+-728%2F27+%5Capprox++-26.96+)
Saludos!!
*
*
Ahora, resolvamos el ejercicio:
Saludos!!
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