Qual o valor da expressão: 10. M/2(10elevado a m-1 + 10elevado a m+1) dividido [10elevado a m.(10m/2 + 10m/2 +2)] ?
Anexos:
Respostas
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Olá Krisla.
Organizando a equação:
![\mathsf{10\cdot \dfrac{M}{2}\cdot \dfrac{(10^{m-1} + 10^{m+1})}{[10^m\cdot(\dfrac{10m}{2}+\dfrac{10m}{2}+2)]}}\\\\=\\\\\mathsf{\dfrac{5m\cdot(10^m\cdot \dfrac{1}{10}+10^m\cdot 10)}{[10^m\cdot(10m+2)]}}\\\\=\\\\\mathsf{\dfrac{5m\cdot\diagup\!\!\!\!\!10^m\cdot\Big(\dfrac{1}{10}+10\Big)}{\diagup\!\!\!\!10^m\cdot(10m+2)}}\\\\=\\\\\mathsf{\dfrac{\dfrac{5m}{10}+20m}{10m+2}}\\\\=\\\\\mathsf{\dfrac{\dfrac{m+40m}{2}}{10m+2}}\\\\=\\\\\mathsf{\dfrac{41m}{2}\cdot\dfrac{1}{20m+2}}\\\\=\\\\\\](https://tex.z-dn.net/?f=%5Cmathsf%7B10%5Ccdot+%5Cdfrac%7BM%7D%7B2%7D%5Ccdot+%5Cdfrac%7B%2810%5E%7Bm-1%7D+%2B+10%5E%7Bm%2B1%7D%29%7D%7B%5B10%5Em%5Ccdot%28%5Cdfrac%7B10m%7D%7B2%7D%2B%5Cdfrac%7B10m%7D%7B2%7D%2B2%29%5D%7D%7D%5C%5C%5C%5C%3D%5C%5C%5C%5C%5Cmathsf%7B%5Cdfrac%7B5m%5Ccdot%2810%5Em%5Ccdot+%5Cdfrac%7B1%7D%7B10%7D%2B10%5Em%5Ccdot+10%29%7D%7B%5B10%5Em%5Ccdot%2810m%2B2%29%5D%7D%7D%5C%5C%5C%5C%3D%5C%5C%5C%5C%5Cmathsf%7B%5Cdfrac%7B5m%5Ccdot%5Cdiagup%5C%21%5C%21%5C%21%5C%21%5C%2110%5Em%5Ccdot%5CBig%28%5Cdfrac%7B1%7D%7B10%7D%2B10%5CBig%29%7D%7B%5Cdiagup%5C%21%5C%21%5C%21%5C%2110%5Em%5Ccdot%2810m%2B2%29%7D%7D%5C%5C%5C%5C%3D%5C%5C%5C%5C%5Cmathsf%7B%5Cdfrac%7B%5Cdfrac%7B5m%7D%7B10%7D%2B20m%7D%7B10m%2B2%7D%7D%5C%5C%5C%5C%3D%5C%5C%5C%5C%5Cmathsf%7B%5Cdfrac%7B%5Cdfrac%7Bm%2B40m%7D%7B2%7D%7D%7B10m%2B2%7D%7D%5C%5C%5C%5C%3D%5C%5C%5C%5C%5Cmathsf%7B%5Cdfrac%7B41m%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B20m%2B2%7D%7D%5C%5C%5C%5C%3D%5C%5C%5C%5C%5C%5C "\mathsf{10\cdot \dfrac{M}{2}\cdot \dfrac{(10^{m-1} + 10^{m+1})}{[10^m\cdot(\dfrac{10m}{2}+\dfrac{10m}{2}+2)]}}\\\\=\\\\\mathsf{\dfrac{5m\cdot(10^m\cdot \dfrac{1}{10}+10^m\cdot 10)}{[10^m\cdot(10m+2)]}}\\\\=\\\\\mathsf{\dfrac{5m\cdot\diagup\!\!\!\!\!10^m\cdot\Big(\dfrac{1}{10}+10\Big)}{\diagup\!\!\!\!10^m\cdot(10m+2)}}\\\\=\\\\\mathsf{\dfrac{\dfrac{5m}{10}+20m}{10m+2}}\\\\=\\\\\mathsf{\dfrac{\dfrac{m+40m}{2}}{10m+2}}\\\\=\\\\\mathsf{\dfrac{41m}{2}\cdot\dfrac{1}{20m+2}}\\\\=\\\\\\")
Dúvidas? comente
Organizando a equação:
Dúvidas? comente
krisla09:
Qual seria a resposta?!
Pelo o conteúdo do enunciado, acredito que ele pede apenas a fatoração
Então a resposta seria o que está dentro do retângulo
Qual? Kkkk desculpa te incomodar
40m+4?
Acredito que você está visualizando a resposta por um aplicativo. Abra pelo navegador "https://brainly.com.br/tarefa/8101587"
41m / (40m + 4)
Obg
Nada. Bons estudos ! :^)
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