Question

Qual o valor da expressão (2ˣ)ˣ ÷ X, para X = √2

Answer 1

(2^x)^x / x 

(2^(√2))^(√2) / (√2)

2^2/√2

(2^2 * √2) / (√2 * √2)

(2^2 * √2)/2

2√2

Answer 2

$\frac{(2^x)^x}{x}=\\\\\frac{2^{x^2}}{x}=\\\\\frac{2^{(\sqrt{2})^2}}{\sqrt{2}}=\\\\\frac{2^2}{\sqrt{2}}=\\\\\frac{4}{\sqrt{2}}\;\;\times\frac{\sqrt{2}}{\sqrt{2}}=\\\\\frac{4\sqrt{2}}{2}=\\\\\boxed{2\sqrt{2}}$