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+n
Here is an example:
x5 * x2 = x5+2 = x7
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
When a base is raised to a power inside a quantity , multiply the two exponents to solve.
Algebra
In math and algebra, a product is the result of multiplication. The product of a x b is ab.
As a product of its prime factors in exponents: 2*32*37 = 666
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
When a base is raised to a power inside a quantity , multiply the two exponents to solve.
When a base is raised to a power inside a quantity , multiply the two exponents to solve.
Exponents are the expodential growth in something.
Algebra
when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question
In math and algebra, a product is the result of multiplication. The product of a x b is ab.
As a product of its prime factors in exponents: 2*32*37 = 666
As a product of its prime factors in exponents: 22*33 = 108 As a product of its prime factors in exponents: 23*29 = 232 As a product of its prime factors in exponents: 23*3*7 = 168
to find a power of a product you add the 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
Exponents are used in algebra which is an area of math. This is not an area covered in the early years of schooling because it is too complicated to understand then.