Why is x^-3 not a Exponential Function? Precalculus Exponential and Logistic Modeling Exponential Growth and Decay 1 Answer A. S. Adikesavan May 14, 2016 The definitions are distinctly clear. #a^x# is an exponential function and #x^a# is a power function. Explanation: #a^x# is defined as an exponential function. Examples are #10#x, 2^x and e^x# #x^a# is defined as a power function. Examples are #x^2, x^(1/2) and x^(-3)#. Answer link Related questions How do I find an exponential growth function in terms of #t#? What is exponential growth? How do I find the multiplier for a rate of exponential decay? How is exponential decay related to a half-life? How to find an equation of exponential decay? What happens when something grows exponentially? How long does it take the culture to double its mass if a bacterial culture which is growing... Joe Smith invest his inheritance of $50,000 in an account paying 6.5% interest. If interest is... How do you write an exponential equation that passes through (1, 1.5), (-1, 6)? How do you write an exponential equation that passes through (0,3) and (2,6)? See all questions in Exponential Growth and Decay Impact of this question 3822 views around the world You can reuse this answer Creative Commons License