Powers are calculated by multiplying the base by itself
the number of times indicated by the exponent. As multiplication is
to repeated addition, powers are to repeated multiplication.
power = baseexponent = base^exponent
Special names are used for exponent two and three.
=base x base = base^2 = base
= base x base x base = base^3
= base cubed
||81 is the fourth power of 3, because:
3 x 3 x 3 x 3 = 81
34 is another way of writing this power
|the answer from multiplying a number by itself one or more times.
has two parts:
and can be written/read in several ways:
- the fourth power of three
- three exponent four
- three to the fourth power
|Exponents 2 and 3 can also be written/read another way:
- 32 is read three squared
- 33 is read three cubed
, the base is 3.
|the number being multiplied in a power
, the exponent is 4.
||the number of times a number is being multiplied by itself in a power
the coefficient is 5.
||the constant (number) multiplier of the variables in a term
Form (Standard Name)
3 x 3
x 3 x 3
|3 x 3 x 3
||3 x 3
||no expanded form
Note: The standard name of any non-zero
base with an exponent of zero is equal to 1.