0
Exponents
Exponents 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
Add your answer:
Earn +20 pts
How do you evaluate exponents?
You evaluate in exponenets by writting out the exponents like 6*6*6 = you have to find the product of your problem.
Are the rules of exponents used to simplify expressions?
Why not? 4 * 4 * 4 + 6 simpler as, 43 + 6 ============same with variables X * X * X + 6 X3 + 6 ===========and many other ways could be thought of here
How do you write-6-6-6-6-6 using exponents?
65
What are the seven rules for exponents?
Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent
What is the square root of x divided by the cube root of x?
When multiplying two values of the same base raised to different exponents, all you need to do is add the exponents. Similarly, when dividing them, you can simply subtract the exponents. In the case of roots, the exponents are actually fractions, so you get: x1/2 ÷ x1/3 = x(1/2 - 1/3) = x(3/6 - 2/6) = x1/6
Are there variables in exponents?
In algebraic equations, exponents can contain variables. They can be solved for by using logarithmic rules for exponents.
What are the rules adding and subtracting exponents?
When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.
Who created the rules for multiplying and dividing exponents?
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
When adding numbers with fraction exponents do you add the exponents?
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
What is fourth root of 6 times the fourth root of 6?
Rounded to two decimal places, 61/4 x 61/4 = 2.45. Due to the rules of adding exponents in a multiplication sum involving exponents, this is equal to 6(1/4 + 1/4) or the square root of 6.
How do you evaluate exponents?
You evaluate in exponenets by writting out the exponents like 6*6*6 = you have to find the product of your problem.
How do you write the prime factorization of 6 using exponents?
2 x 3 = 6 No exponents needed.
Are the rules of exponents used to simplify expressions?
Why not? 4 * 4 * 4 + 6 simpler as, 43 + 6 ============same with variables X * X * X + 6 X3 + 6 ===========and many other ways could be thought of here
When multiplying 2 or more variables with exponents what do you do with the exponents?
You add the exponents- x^2*x^6=x^8
How do you write-6-6-6-6-6 using exponents?
65
What are the 6 law of exponents?
dsdadadd
When you divide a number with exponents do you add or divide the exponents?
if you divide a number with exponents bye a number with exponents you subtract the exponents. For example A^6 / A^4 = A^2 We get this because A^6 is A*A*A*A*A*A over A*A*A*A The four A's cancel out four of the A's on top so you are left with two A's so the answer is A^2
