0,\quad OOF:\; x\ne 0\\\\7^{x}>7^{\frac{1}{x}}\\\\x>\frac{1}{x}\\\\x-\frac{1}{x}>0\\\\\frac{x^2-1}{x}>0\\\\\frac{(x-1)(x+1)}{x}>0\quad - - - -(-1)+ + + (0)- - - - (1)+ + + + \\\\x\in (-1,0)U(1,+\infty )" alt="7^{x}-7^{\frac{1}{x}}>0,\quad OOF:\; x\ne 0\\\\7^{x}>7^{\frac{1}{x}}\\\\x>\frac{1}{x}\\\\x-\frac{1}{x}>0\\\\\frac{x^2-1}{x}>0\\\\\frac{(x-1)(x+1)}{x}>0\quad - - - -(-1)+ + + (0)- - - - (1)+ + + + \\\\x\in (-1,0)U(1,+\infty )" align="absmiddle" class="latex-formula">