Puterea cu exponent rational exercitiu rezolvat 1

$$\left(\sqrt{2}\right)^x\:\cdot \:2\:>\frac{1}{8}=>$$
$$\left(2^{\frac{1}{2}}\right)^x\:\cdot \:2\:>\frac{1}{2^3}=>$$   




$$2^{\frac{x}{2}}\cdot 2>\:2^{-3}=>$$
$$2^{\frac{x}{2}+1}>\:2^{-3}=>$$
$$\frac{x}{2}+1\:>\:-3=>$$
$$\frac{x+2}{2}>-\frac{6}{2}=>$$
$$x+2>-6=>$$
$$x>-6-2=>$$
$$x>-8$$


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