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The given statement is true.
In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.
Consider an exponential function
and a quadratic function 
.
Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.
Therefore, we can conclude that the given statement is correct.
In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.
Consider an exponential function
Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.
Therefore, we can conclude that the given statement is correct.