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# 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

**When the exponent is 0 or below**:

*B*^{0}=^{B1}⁄_{B}= 1- B
^{-1}=^{B0}⁄_{B}=^{1}⁄_{B} - B
^{-n}=^{1}⁄_{BN}

**When the base is 0**, no matter the exponential value,

**The resulting unit will always be 0**:

*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!**