Exponent Notes
Vocabulary
base – the big number that is used as the factor
Example: In 23, 2 is the base.
exponent – the small number (power) that tells us how many times to multiply
the base by itself.
Example: In 23, 3 is the exponent.
exponential form – a number shown by using a base and an exponent
Example: 23
factor form – a number shown in a multiplication sentence
Example: The factor form of 23, is 2
2
2
standard form – the answer (the regular way to write a number)
Example: The standard form of 23 is 8.
squared – the base to the second power
Example: 52 can be read 5 squared
cubed – the base to the third power
Example: 23 can be read 2 cubed
Solving an Exponent
Reading Exponents
5
base →
Solving an Exponent
53 = 5
3←exponent
Any number to the 0 (zero) power is always 1
50 = 1
Any number to the first power is always
251 = 25
61 = 6
5
↓ ↓
25 5
↓
125
 5 to the third power
 5 to the power of 3
 5 cubed
30 = 1
5
1000 = 1
itself
101 = 10