How can you simplify (125a^15b^7)/(-8a^3b^4)125a15b7−8a3b4?

2 Answers
Serena D.
Apr 9, 2018

-(125a^12b^3)/(8)−125a12b38

Explanation:

125/-8125−8 cannot be simplified, it is in the simplest form a fraction can be in

Dividing exponents with the same base: a^b/a^c=a^(b-c)abac=ab−c

Apply that in this expression:

125/-8*a^(15-3)/1*b^(7-4)/1125−8⋅a15−31⋅b7−41

125/-8*a^12/1*b^3/1125−8⋅a121⋅b31

-(125a^12b^3)/(8)−125a12b38

hev1
Apr 9, 2018

To simplify this expression, the following exponential rule is needed:
(a^b)/(a^c) = a^(b-c)abac=ab−c

(125a^15b^7)/(-8a^3b^4)125a15b7−8a3b4
=-(125a^(15-3)b^(7-4))/8=−125a15−3b7−48
=-(125a^12b^3)/8=−125a12b38

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