(a3 + b3)/(a + b) = (a + b)*(a2 - ab + b2)/(a + b) = (a2 - ab + b2)
7
Yes. In general, a negative power can be defined as follows: a-b = 1 / ab.
Because (K)B/(K)A = K(B-A) and any number divided by itself = 1 .
90 divided b 13 = 6.923076923076923
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern I-----B--A. That is, ten letter words with 1st letter I and 7th letter B and 10th letter A. In alphabetical order, they are: incunabula
x to the power a divided by x to the power b is x to the power (a - b) When a and b are equal then this is x to the power a divided by x to the power a, ie 1. x to the power (a - a) = x to the power zero. Things which are equal to the same thing are equal to each other, so 1 = x to the power zero.
(a3 + b3)/(a + b) = (a + b)*(a2 - ab + b2)/(a + b) = (a2 - ab + b2)
35
7
Yes. In general, a negative power can be defined as follows: a-b = 1 / ab.
4/b-3 + 3/b = -2b/b-3 b = 1 or b = -4.5
a/b?
Because (K)B/(K)A = K(B-A) and any number divided by itself = 1 .
90 divided b 13 = 6.923076923076923
1
x to the power a divided by x to the power b = x to the power (a - b), ie xa/xb = xa-b. When a = b, xa/xb = 1 and a - b = 0 so xa-b = x0. Rearranging gives x0 = 1. This is true for ALL non-zero values of x.