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.
Filters
 Filter Results

 By Subject
 Math (6,944)
 Number Sense (2,034)
 Numbers 010 (1,102)
 Numbers 1120 (297)
 TwoDigit Numbers (337)
 ThreeDigit Numbers (410)
 MultiDigit Numbers (70)
 Decimal Numbers (78)
 Order of Operations and Use of Parentheses (27)
 Exponents and Powers of Ten (8)
 Converting Numerical Expressions to Different Forms (22)
 Understanding Expressions and Equations (7)
 Solving Basic Algebraic Equations (20)
 Analyze Arithmetic Patterns (12)
 Addition (1,163)
 Subtraction (941)
 Multiplication (624)
 Division (245)
 Fractions (376)
 Measurement (381)
 Time (224)
 Money Math (287)
 Data (553)
 Geometry (963)
 Math Challenges (148)
 Math Word Problems (59)
 Fraction Word Problems (1)
 Reading & Writing (7,829)
 Typing (99)
 Science (3,847)
 Social Studies (2,635)
 Foreign Language (264)
 The Arts (220)
Current Filters (8 results):
Exponents and Powers of Ten
Page:
1
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!