Question

Calcule o valor da expressão: ​

Answer 1

Resposta:

Explicação passo-a-passo:

vamos por partes

$\sqrt{1^{1256}}=1\\\\8943^{0}=1\\\\\frac{3125}{5^{5}}=\frac{3125}{3125}=1\\\\\sqrt[7]{1}=1\\\\1,5=\frac{15}{10}=\frac{3}{2}\\\\2^{-1}=\frac{1}{2}\\\\(-1)^{2058}=1\\\\\sqrt[7]{\frac{3^{21}+3^{23}}{10}}=\sqrt[7]{\frac{3^{21}.(1+3^{2})}{10}}=\sqrt[7]{\frac{3^{21}.(1+9)}{10}}=\sqrt[7]{\frac{3^{21}.10}{10}}=\sqrt[7]{3^{21}}=3^{\frac{21}{7}}=3^{3}=27$

Agora vamos substituir tudo isso na expressão inicial

$(\frac{1+1+1+1}{\frac{3}{2}-\frac{1}{2}+1})^{27}=(\frac{4}{\frac{2}{2}+1})^{27}=(\frac{4}{1+1}) ^{27}=(\frac{4}{2})^{27}=2^{27}$

Item (E)