82 the 2 is the exponent
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
13 is already prime. It doesn't need a rainbow.
120 60,2 30,2,2 15,2,2,2 5,3,2,2,2
Prime factors in exponents: 25*52 = 800
You sure can, here is an example I made up to show you: x4+x2= x2(x2+x) When you factor it out it should look like this because if you multiply it back up (where the exponents will multiply not add) it will equal the primary equation.
82 the 2 is the exponent
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
45 15,3 5,3,3
13 is already prime. It doesn't need a rainbow.
30=3x2x521=7x3The LCM is 7x5x3x2.The method used look at the exponents on each factor. In this case they are all 1. Now take the smallest exponent of each factor and multiply the numbers with those exponents together.They only common factor is 3 and we use it but only once.
27 9,3 3,3,3
72 36,2 18,2,2 9,2,2,2 3,3,2,2,2
612 306,2 153,2,2 51,3,2,2 17,3,3,2,2
120 60,2 30,2,2 15,2,2,2 5,3,2,2,2
Prime factors in exponents: 25*52 = 800
675 225,3 75,3,3 25,3,3,3 5,5,3,3,3