设指数函数\(f(x) = {a^x}(a 0,\)且\(a \ne 1)\)，则下列等式中正确的是(　　)

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设指数函数 \(f(x) = {a^x}(a > 0,\) 且 \(a \ne 1)\) ，则下列等式中正确的是(　　)

A.\(f\left( {x + y} \right) = f\left( x \right)f\left( y \right)\)

B.\(f\left( {x - y} \right) = \frac{{f\left( x \right)}}{{f\left( y \right)}}\)

C.\(f\left( {\frac{x}{y}} \right) = f\left( x \right) - f\left( y \right)\)

D.\(f\left( {nx} \right) = {\left[ {f\left( x \right)} \right]^n}\left( {x \in Q} \right)\)

参考答案：ABD