What are some of the applications for exponential functions

Exponential functions help us in reducing higher dimensional equivalents into smaller ones , simply , we have an advantage over using exponents , indices , simultaneously ,

we can substitute x² = t in any equation which has raised to the power 4 , it'll result in t² for sure ,

SO , the above illustration is the most basic and common application of exponential functions , rest is utilized in reducing logarithmic , trigonometric functions and so on more