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(xa)b = xa*b = xab

(xy)a = xaya

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Q: How is the power of power property rule and the power of a product property rule different?
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Continue Learning about Algebra

State the multiplication property of zero?

A rule stating that the product of zero and any number is zero.example: 3 x 0 = 0, y x 0 = 0


What is a rule for raising a negative number into a power number?

The answer depends on the power number. If, for example, the power number is -0.5, then there is no rule in real numbers.


Why cross product does not obey commutative property?

The cross product of two vectors is defined as a × b sinθn Where the direction of Cross product is given by the right hand rule of cross product. According to which stretch the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb will represent the direction. As direction of a × b is not same to b × a. So it does not obey commutative law.


What is assosiative property?

a + (b + c) = (a + b) + cThe word "associative" comes from "associate" or "group";the Associative Property is the rule that refers to grouping


What are the 6 rules of exponents?

ExponentsExponents are used in many algebra problems, so it's important that you understand the rules for working with exponents. Let's go over each rule in detail, and see some examples. Rules of 1 There are two simple "rules of 1" to remember. First, any number raised to the power of "one" equals itself. This makes sense, because the power shows how many times the base is multiplied by itself. If it's only multiplied one time, then it's logical that it equals itself. Secondly, one raised to any power is one. This, too, is logical, because one times one times one, as many times as you multiply it, is always equal to one. Product Rule The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! Power RuleThe "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. Quotient Rule The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents. You can see why this works if you study the example shown. Zero Rule According to the "zero rule," any nonzero number raised to the power of zero equals 1. Negative Exponents The last rule in this lesson tells us that any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power.This information comes from http://www.math.com/school/subject2/lessons/S2U2L2DP.html

Related questions

Raising a product to a power exponent rule?

power of 0


What does commuitive property mean in math?

The commutative property is a rule of math that refers to exchanging or swapping numbers. The rule states that the order of the factors does not change the product.


What is the relation of the exponent rule and the power rule?

The exponent "product rule" tells us that, when multiplying two powers that The Product Rule is that when you have the same base, you can add the exponents.The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.


What are the main rules of finding out derivatives in urdu?

Power rule, Chain rule, Product rule and quotient rule are the main rules of finding derivatives in Urdu.


What does the product rule of exponents?

When a base is raised to a power inside a quantity , multiply the two exponents to solve.


Hw did the power of the monarchy change between 1066 and 2000?

Because there was different kings and queens who wanter to rule in different times and they all had different power and control. Some Kings left the throne and the parliament had to control or the barons so they had different power. So the power of the monarchy changed. Because there was different kings and queens who wanter to rule in different times and they all had different power and control. Some Kings left the throne and the parliament had to control or the barons so they had different power. So the power of the monarchy changed.


What is the derivative of 5x lnx?

If that is a simple product, just use the product rule. If there is a power involved - that is not always clear in the question - you must use logarithmic differenciation.


What does the product rule of exponents say?

When a base is raised to a power inside a quantity , multiply the two exponents to solve.


How is feudalism different from total power of an emperor?

an emperor has no helpers to rule the empire/kingdom


State the multiplication property of zero?

A rule stating that the product of zero and any number is zero.example: 3 x 0 = 0, y x 0 = 0


How do you do ten to the zero power?

Well, You multiply 10 by how ever many times the number says. In this case it is 0. Though, there is a different rule for anything to the zero power. The rule is that anything to the zero power is not zero, but always one.


Find the derivative y equals 10 to the sin3x power?

Y=10^sin(x) The derivative is: (log(5)+log(2))*cos(x)*2^sin(x)*5^sin(x) Use the chain rule, product rule, and power rules combined with sin(x) rule.