0
The browser used by Answers.com is not up to the formatting, but consider 2 to the power 3 to the power 4.
(2 to the power 3) to the power 4 = 8 to the power 4 = 4096
while
2 to the power (3 to the power 4) = 2 to the power 81 = 3.9*10154 (approx).
These two values are not equal and this, therefore, acts as an example showing that exponentiation is not associative.
Add your answer:
Earn +20 pts
What are the definitions of associative property?
The associative property is the property that a * (b * c) = (a * b) * c for any binary operation *. Addition and multiplication are associative, but these are definitely not the only two operations that obey this property.
What operation are not associative?
Of the five common operations addition, subtraction, multiplication, division, and power, both addition and multiplication are commutative, as well as associative. The other operations are neither.
What is the mathematic operation that undoes another mathematic operation?
An inverse operation undoes it's composite operation. For example, Addition and Subtraction are inverses of each other, as are Multiplication and Division, as are Exponentiation and Logarithms, as are Sine and ArcSine, Cosine and ArcCosine, Tangent and ArcTangent, Secant and ArcSecant, Cosecant and ArcCosecant, and Cotangent and ArcCotangent
Division of whole numbers is associative?
No it is not an associative property.
Does the associative property apply to division?
there is not division for the associative property
Arithmetic operator that raises to the power?
There isn't one. It is an algebraic operation, not an arithmetic one and is called exponentiation.
Is the operation of subtraction associative?
yes
What is a short definition for Associative Property?
In general, the associative property states that "a · (b · c) = (a · b) · c" for some operation "·". In other words, if an operation is associative, the order in which multiple calculations involving it are performed is irrelevant.
An example of binary operation which is commutative but not associative?
NAND
What is the associative property of 5 91 and 11?
The associative power applies to an operation- such as multiplication or addition - not to specific numbers.
Is there an equivalent for factorials when dividing?
No, because division is not an associative operation.
Who ln1 equals 0?
If you mean why, that is because e1 = 0. Remember that logarithm is the inverse operation to exponentiation.
What are the definitions of associative property?
The associative property is the property that a * (b * c) = (a * b) * c for any binary operation *. Addition and multiplication are associative, but these are definitely not the only two operations that obey this property.
What operation are not associative?
Of the five common operations addition, subtraction, multiplication, division, and power, both addition and multiplication are commutative, as well as associative. The other operations are neither.
Is multiplication a whole numbers associative operation?
Yes. Multiplication of any real numbers has the associative property: (a x b) x c = a x (b x c)
Does commutative law apply in the operation of sets?
Both union and intersection are commutative, as well as associative.
Is There A Law Of Exponentiation?
Yes, there is. There is a law of exponentiation. # The definition of exponentiation shows us it is a product, but the law of exponentiation shows us it is a sum. # Law of exponentiation is confirmed by a general formula to be expressed by words. # From there one sees exponentiation to be constructed by the two constants: base constant and exponent constant. It is the property of exponentiation. Author Đoàn Đức Nhuận (in vietnamese)
