Question

Urgente.15 pontos!Por favor.

Answer 1

Resposta:

Explicação passo-a-passo:

Vamos por etapas

$\sqrt[7]{\frac{3^{21}+3^{23} }{10}}=\sqrt[7]{\frac{3^{21}+3^{21}.3^{2}}{10}}$

colocando $3^{21}$  em evidência

$\sqrt[7]{\frac{3^{21}(1+3^{2})}{10}}=\sqrt[7]{\frac{3^{21}(1+9)}{10}}=\sqrt[7]{\frac{3^{21}.10 }{10}}=\sqrt[7]{3^{21}}=3^{\frac{21}{7}}=3^{3}=27$

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

Substituindo tudo na expressão inicial

$X=(\frac{\sqrt{1^{1256}}+8943^{0}+\frac{3125}{5^{5}}+\sqrt[7]{1}}{1,5-2^{-1}+(-1)^{2058}})^{\sqrt[7]{\frac{3^{21}+3^{23}}{10}}}\\\\X=(\frac{1+1+1+1}{\frac{3}{2}-\frac{1}{2}+1})^{27}\\\\X=(\frac{4}{1+1})^{27}\\\\X=(\frac{4}{2})^{27}\\\\X=2^{27}$