Exponents

exponential form of ½ x ½

(½)²

3³

3x3x3=27

A number to the power of 1 equals....

itself

Write in expanded form: (¼)³

¼ x ¼ x ¼

Any number to the power of 0 equals...

1

Write in expanded form: 2.5⁴

2.5 x 2.5 x 2.5 x 2.5

2²

2x2=4

2³

2×2×2=8

exponential form of 2x2x2x2x2

2⁵

What is the exponent in (½)³

3

exponential form of 3.8 x 3.8 x 3.8 x 3.8

3.8⁴

3²

3×3=9

What is the base in 4⁹

4

6²

6x6=36

6 raised to the power of 5

6⁵ = 6x6x6x6x6 = 7,776

"seven to the fourth power" in exponential form

7⁴

8 cubed written in expanded form

8x8x8

cubed

A number multiplied by itself 3 times or a number raised to the third power. Example: 5³ = 5x5x5 = 125

squared

A number multiplied by itself or when the exponent of a base is 2. Example: 5² = 5x5 = 25

Exponent

A number that tells how many times the base is multiplied by itself

Power

The base and the exponent of an expression

Base

The value that is raised to a power when a number is written in exponential form

Expression

a mathematical phrase that contains numbers, variables, and operations, but no equal sign

factor

a number being multiplied.

exponential form

a way of writing repeated multiplication of a number using a base and exponent. Example: 2⁵ instead of writing 2x2x2x2x2

expanded form

an expression written out as a product of the same factor. Example: 3 x 3 x 3 x 3

perfect square

the product of a whole number multiplied by itself. Examples: 1 (1x1 or 1²) 4 (2x2 or 2²) 9 (3x3 or 3²) 16 (4x4 or 4²) and so on.