Exponents

In mathematics, and in algebra particularly, exponents are values (n) that multiply a base number b to value of n 


The exponent is usually shown as a superscript to the right of the base. In that case, bn is called "b raised to the n-th power", "b raised to the power of n", or "the n-th power of b”.

This process is also called  exponentiation

When n is a positive integer and b is not zero, bn is naturally defined as 1/bn, preserving the property bn ⋅ bm = bn + m. In particular, b−1 is equal to 1/b, the reciprocal of b.

Graphs of y = bx for various bases b:   base 10,   base e,   base 2, and   base 1/2. Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.


The definition of exponentiation can be extended to allow any real or complex exponent. Exponentiation by integer exponents can also be defined for a wide variety of algebraic structures, including matrices.

Exponentiation is used extensively in many fields, including economics, biology, chemistry, physics, and computer science, with applications such as compound interest, population growth,  chemical reaction kinetics, wave behaviour, and public-key cryptography.


Source adapted from: Wikipedia contributors. (2019, January 29). Exponentiation. In Wikipedia, The Free Encyclopedia. Retrieved 23:57, February 10, 2019, from https://en.wikipedia.org/w/index.php?title=Exponentiation&oldid=880787075