Or download our app "Guided Lessons by Education.com" on your device's app store.

# 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*.

- Filter Results
- By Subject
- Coding Games (4)
- Fine arts (240)
- Foreign language (352)
- Maths (8,572)
- Number Sense (2,244)
- Numbers 0-10 (1,135)
- Numbers 11-20 (331)
- Two-Digit Numbers (355)
- Three-Digit Numbers (430)
- Multi-Digit Numbers (122)
- Decimal Numbers (101)
- Order of Operations and Use of Parentheses (49)
- Exponents and Powers of Ten (24)
- Converting Numerical Expressions to Different Forms (23)
- Understanding Expressions and Equations (19)
- Solving Basic Algebraic Equations (36)
- Analyze Arithmetic Patterns (42)
- Addition (1,371)
- Subtraction (1,006)
- Multiplication (765)
- Division (326)
- Fractions (475)
- Measurement (488)
- Time (265)
- Money maths (299)
- Data (596)
- Geometry (1,184)
- Maths Challenges (187)
- Maths Word Problems (87)
- Fraction Word Problems (10)
- Reading & writing (10,525)
- Science (3,821)
- Social emotional (302)
- Social studies (2,395)
- Typing (113)

- By Standard
- Common Core (16)

## 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!**