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-30a^5b^4c3/20a^3b

 Oct 21, 2015
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-30a^5b^4c3/20a^3b

 

Simplify the following:
(-30 a^5 b^4 c^3 a^3 b)/20

The gcd of -30 and 20 is 10, so (-30 a^5 b^4 c^3 a^3 b)/20 = ((10 (-3)) a^5 b^4 c^3 a^3 b)/(10×2) = 10/10×(-3 a^5 b^4 c^3 a^3 b)/2 = (-3 a^5 b^4 c^3 a^3 b)/2:
(-3 a^5 b^4 c^3 a^3 b)/2

Combine powers. (-3 a^5 b^4 c^3 a^3 b)/2 = (3 a^(5+3) b^(4+1) c^3 (-1))/2:
-(3 a^5+3 b^4+1 c^3)/2

5+3 = 8:
-(3 a^8 b^(4+1) c^3)/2

4+1 = 5:
Answer: | 
| -(3 a^8 b^5 c^3)/2

 Oct 21, 2015

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