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For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1).
For example,
GCF(a3bc, a2c3, a3b2c3) = a2c.
Exponents of a are 3, 2 and 3: smallest = 2
Exponents of b are 1, 0 and 2: smallest = 0
Exponents of c are 1, 3 and 3: smallest = 1
The same rules apply for fractional exponents.
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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
What is The sum of the exponents on the variables in a term?
Degree of a Polynomial
When multiplying a number exponents that are squared do you add or multiply?
If the base numbers or variables are the same, you add the exponents.
What are Terms that have identical variables and exponents called?
identical identities
What is terms with the same variables raised to the same exponents?
like terms
How do you find the greatest common factor of variables?
Choose the lowest of the exponents. The GCF of x3 and x5 is x3
How do you find the greatest common factor of variables with exponents?
GCF of variables with exponents The GCF is the common variable with smallest exponent. example 9x4 - 27x6 the gcf is 9X4 because: 9x4 (1-3x2) = 9x4 - 27x6 In the same way: X5 is the GCF of X10 + x5 -x6 Because X5 ( X5 + 1 -x1) = X10 + x5 -x6 Remember the exponent rule if you are multiplyin the same base, you keep the base and add the exponents Hope this helps Btw this does not help me! anna
How do you find least common multipleand greatest common factor with a number that has variables and exponents next to it?
Do the numerical factors (coefficients) first. For the GCF of the variables, choose the lowest power of each. For the LCM of the variables, choose the highest power of each. Example 6x2y3z4 and 9x3y4z2 The GCF is 3x2y3z2 The LCM is 18x3y4z4
Are there variables in exponents?
In algebraic equations, exponents can contain variables. They can be solved for by using logarithmic rules for exponents.
How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
What is the sum of the exponents of the variables of a monomial is the of the monomial?
The degree of a term is the sum of the exponents on the variables.
When subtracting what to do with the exponents?
It depends on whether you are working with variables. You cannot add terms with variables that have unlike exponents.
How do you subtract like variables with different exponents?
You can't. You can only subtract like terms. Like terms must have exactly the same variables and exponents on the variables.
When dividing variables with exponents subtract exponents?
Yes. When you divide one variable with an exponent from another, you subtract the exponents
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
When adding variables with exponents do you add or subtract the exponents?
When adding variables with exponents, you do neither. You only add the exponents if #1 The variables are the same character (such as they are both "a") #2 You are multiplying the variables (NOT ADDING, SUBTRACTING, OR DIVIDING) Using a simple concrete case may make this clearer: 10+2 times 10+3 equals 10+5 ( 100 times 1000 equals 100,000).
What is The sum of the exponents on the variables in a term?
Degree of a Polynomial
