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Q: What is the logic behind the product rule of exponents?
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What is logic behind bodmas rule?

i THINK THERE IS NO LOGIC BEHIND BODMAS RULE. IT IS JUST A CONVENTION.


What does the product rule of exponents?

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


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.


What is the product rule of exponents in Algebra?

The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents.The above answer translates to the following Algebra rule:xm * xn = xm+nHere is an example:x5 * x2 = x5+2 = x7


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 is the quotients rule of exponents in Algebra?

The quotient rule of exponents in Algebra states that dividing expressions with the same base you subtract the exponents. However, the base cannot be equal to zero.The above statement follows this rule in Algebra:xm/xn = xm-n;x cannot equal 0Here's an example:x15/x5 = x15-5 = x10


What rule can you write about the placement of the decimal point in the product?

always remember to count the numbers behind the decimal(s)


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


How do you raise a power to a power?

The rule is that you multiply the exponents. So if I have 2 squared and I want to raise it to the third power, you multiply the 2x3=6. When you multiply powers you add the exponents. When you raise exponents to a power you multiply. This works for rational exponents which can be used to represent roots as well.


Does the negative rule for exponents using scientific notation apply to adding subtracting dividing and multiplying?

Yes, it does.


Why is exponents before division and multiplication?

Because that is a rule mathematicians agreed upon many years ago.


What is the rule that allows us to add the exponents of factors whose base numbers are the same?

It is one on the "index laws".