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Exponents are just the number of times a factor is repeated. Consider 64.
64
32,2
16,2,2
8,2,2,2
4,2,2,2,2
2,2,2,2,2,2
There are six twos. That's 26
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How do you find the greatest common factor of variables?
Choose the lowest of the exponents. The GCF of x3 and x5 is x3
What is the greatest common factor of 12 and 15 using exponents?
The GCF is 3. No exponents needed.
What is the factor string with exponents for 50?
2 x 52
What is the tree factor for 500?
As a product of its prime factors in exponents: 22*53 = 500
Do factor trees always work for determining the greatest common factors?
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?
The exponents are added.
How do you use a factor tree to find the greatest common factor of 78 and 195?
Find out about factors and factor trees.
What are the exponents on a factor tree for 35?
35 5,7 No exponents required.
How do you find the greatest common factor of variables?
Choose the lowest of the exponents. The GCF of x3 and x5 is x3
Can a numerical factor have exponents?
Yes.
What is the greatest common factor of a factor tree?
You need at least two factor trees to find a GCF.
What is the factor tree for 165 using exponents?
165 55,3 11,5,3 No exponents required.
What is the greatest common factor of 12 and 15 using exponents?
The GCF is 3. No exponents needed.
What is the prime factor of seventy using exponents?
It is: 2*5*7 = 70 and no exponents are needed
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
How do you find GCF with varaibles only?
You look at the exponents. x5y2 and x3y4 The greatest common factor of these is the largest exponent of each. So the greatest common factor is: x3y2
What is Prime factor of 20 using exponents?
The prime factors of 20 using exponents is: 22x 5
