Exponents Resources
Exponents represent an abstract unit whose value correlates to a given number. In a way, exponents are like shorthand for multiplication; they indicate the number of times a given value will be multiplied by itself, so they pack a lot of power. Use the resources on this page to develop a clearer understanding of why and how 2^{3}=2 × 2 × 2.
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Exponents 101
An exponent is a useful tool that shortens mathematical formulas used in economics, chemistry, computer science, and many other fields. Mathematical operations involving exponents contain two numbers, a base (b) and an exponent (n). The exponent indicates how many times the base must be multiplied by itself. Thus, exponentiation results depend on the values of both base and exponent; are they positive or negative, integers or fractions?Basic exponent uses include:
 “b squared” or “b to the power of 2” = b^{2} = b × b
 “b cubed” or “b to the power of 3” = b^{3} = b × b × b
 b^{0} = ^{b1}⁄_{b} = 1
 b^{1} = ^{b0}⁄_{b} = ^{1}⁄_{b}
 b^{n} = ^{1}⁄_{bn}
 0^{3} = 0 × 0 × 0 = 0
 0^{15} = 0
 The area of a square: A = s^{2}
 The area of a circle: A = πr^{2}
 The volume of a cube: V = s^{3}
 The volume of a sphere: V = ^{4}⁄_{3}πr^{3}
 The perimeter of a right triangle: P = a+b+√a^{2}+b^{2}
 And more!