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Simplifying rational expressions (old video)

Sal simplifies (28b^6)/(7b) as 4b^5. Created by Sal Khan and Monterey Institute for Technology and Education.

Video transcript

Simplify the expression 28b to the sixth divided by 7b. Well this is the same thing as 28/7 times b to the sixth over b. And I did it this way so that we have b to the sixth over b to some other power. And this is over b, which is the same thing as b to the first. So we could simplify this using exponent properties. And 28/7 we can just clearly simplify because 28 is divisible by 7. 28 divided by 7 is just 4. So that is just 4. And then b to the sixth divided by b to the one, that's just going to be b to the sixth minus 1 power. So times b to the sixth minus 1 or b to the fifth. So our answer is 4b to the fifth.