Demonstração de propriedade da função exponencial
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PiR2 :: Matemática :: Álgebra
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Demonstração de propriedade da função exponencial
Gostaria de pedir a ajuda dos colegas para entender a demonstração do lema 2 presente no livro Fundamentos da Matemática Elementar vol 2.
![Demonstração de propriedade da função exponencial 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ispq169f59y5c8hkMs3XqIuLi/n555+0trt58wamphIuXDgPmNC8eXNiY2PJzMygTZuqxT3V6/mvXbtGmzZtkUqlf9QoMCE2Nobs7GzatGnLjRvX+eKL3RQUFGBvb0eLFjYN7pdKpSIxMYGLF5Np1aqV5luJhs5HXl4eOTk5KBTpJCUl4uDgWOdLYqWlpXzzzdfExERjbW3N3/72t3rnd+nSxSxZspRJk95g+PCXmT17JlOnTjPoK+Mg3vGfKvrqDzg7OyOTySgoqLtWYciQIfj5zaNvX3f27/+K3bt31VMMRM2GDRvx9NRfbUitVjNu3FgKCvJJTv6VlSvfBSAmJoaFCxegVqsJClrLjz/+R28fhtQS0LXWvqiokEmTJlJUVLXCcd26tYBh6/nnzJlFbGwsaWlpzJgxHZVKxYEDB1iyZDHp6el8/vlnHD78A0plJUplJeXl5VRWqgzar3fffYfIyEhKS0uZOXMGZWVljZqPpKQk5s+fx08//cS5c+ceuaaDWq3m7NmzdO/eQ7OtTGbZqKMYg2ruCX8NXfUHAAx5Ebe3t2f69LdQqVQcP36MjRvXs3v3/2i9A0ilTXBwcCAvL09vP5WVVUlhY9OSoUOHYmEhA6q+pz9hwgQ6d3Zm8uQpbNsWzPDhL+vsw5BaArrW2oeE7GHAgAF4e3vj7e1Nz549WLRoMVD/ev7WrW1RKBQsW1a1jPjUqVN/HB3AoEGDeP31iTg7O7N//1eMGTOWzp07069fPzp27Mjq1R82uF+FhUW4ujbH3d2dUaNGI5VKGzUf1b+fefPmAzB8+DC97Qyp6VBaWoq1tbVWARlHR0dycnL09lubSPyniK76A0uWLAWgWTPrBlejJScnExFxGplMRlDQRwYf9tUklUrZsiWYL7/8N4GBATg5ObFt23YUCgVZWVmatfZvvDFFbx+G1BLQtdY+KyuLZ599UPjU3t5Oc12jvvX8CoWCpk2basYbMmQIdnZ2QNXa/urtdNVzMGS/AgICCQnZw5w5s6moqCAk5F+Nmo+q+B00/2/SpP60a6img6WlJUVFRVoL2NLS0rCzs6+335pE4j8lDK0/UFtxcTFHjhwmOzub7t174Oc375EWGRUUFPDbb7+xYcNGoKo4qkKhoGvXrnTt2o3BgweTkZFBdPQFoGpFo0xmqVXDz5B1+brW2g8ZMoTIyEimTJlCaWkp+fn5mnN4bdovaG5urqjVas057v79X9GyZdU5sq4Xv9o1BHTtV00nT55k6dJlSKVSAgMDiIiI0LudrpoO+uKorTE1HUaOHEVkZATDhg3nzp07VFZW0qlTpwbHqCYS/ylhaP2B2k6cOM7QocNo3bp1g21v3brFJ59spKzsPjdv3mDhwvl06NBRczgN0Lx5c5KTf+XUqR+xsLCgc2dn2rZty4oV77JokT/fffctxcXFrFlTtZY/IGANffu6a1VfNqSWQMeOHeustX/hhRc4ceIE8+fPIzc3l6Cg9fVerKzm6NgeT88RvP76BGxtW9O+/XM0b66/nuHAgYN4772VyOVyvftVk5WVJW+9NR1bW1vu3LnD3Llv069ff53b6arpYIjG1nRYtWoVS5YsJjQ0lPz8PD79dFOjxhOr854yf2X9gfpUfzbc0Nr40NBQevfuhaNj+zp9GLIuX9da+4ddf68vZl3Ky8spLy/X1BQ0ZExd+1N7u/pqOvwZHrb2gUh84ZGINfra/ltqOojEFwQj9HS/LAmC8KcQiS8IRkgkviAYIZH4gmCEROILghH6Pz60JLhamS6qAAAAAElFTkSuQmCC)
![Demonstração de propriedade da função exponencial 8AWs4gp+XBCfMAAAAASUVORK5CYII=](data:image/png;base64,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)
Minha dúvida reside na parte destacada em amarelo. Não estou entendendo como aplicar o lema 1 para obter a^(1/q) > 1.
Minha dúvida reside na parte destacada em amarelo. Não estou entendendo como aplicar o lema 1 para obter a^(1/q) > 1.
MFelipe- Iniciante
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Re: Demonstração de propriedade da função exponencial
Se q ≤ 0, a será ≤ 1MFelipe escreveu:Gostaria de pedir a ajuda dos colegas para entender a demonstração do lema 2 presente no livro Fundamentos da Matemática Elementar vol 2.
Minha dúvida reside na parte destacada em amarelo. Não estou entendendo como aplicar o lema 1 para obter a^(1/q) > 1.
Faça o teste substituindo q = 0. Multiplicando os expoentes, ficaremos com a0 que é igual a 1.
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» Demonstração de propriedade
» Demonstração de propriedade
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» Propriedade de função
» [DÚVIDA] - Demonstração da propriedade distribuitiva
» Demonstração de propriedade
» Demonstração de propriedade de conjuntos
» Propriedade de função
» [DÚVIDA] - Demonstração da propriedade distribuitiva
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