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Câu hỏi: Khẳng định nào sau đây là đúng?
A. ${{\left( {{e}^{x}} \right)}^{y}}={{e}^{x}}.{{e}^{y}}$ $\forall x,y\in \mathbb{R}.$
B. ${{e}^{x+y}}={{e}^{x}}+{{e}^{y}}$ $\forall x,y\in \mathbb{R}.$
C. ${{\left( {{e}^{x}} \right)}^{y}}={{e}^{xy}}$ $\forall x,y\in \mathbb{R}.$
D. ${{e}^{x-y}}={{e}^{x}}-{{e}^{y}}$ $\forall x,y\in \mathbb{R}.$
A. ${{\left( {{e}^{x}} \right)}^{y}}={{e}^{x}}.{{e}^{y}}$ $\forall x,y\in \mathbb{R}.$
B. ${{e}^{x+y}}={{e}^{x}}+{{e}^{y}}$ $\forall x,y\in \mathbb{R}.$
C. ${{\left( {{e}^{x}} \right)}^{y}}={{e}^{xy}}$ $\forall x,y\in \mathbb{R}.$
D. ${{e}^{x-y}}={{e}^{x}}-{{e}^{y}}$ $\forall x,y\in \mathbb{R}.$
Ta có: ${{\left( {{e}^{x}} \right)}^{y}}={{e}^{xy}}$ $\forall x,y\in \mathbb{R}.$
Đáp án C.