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.