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How do I simplify 2c^3d(3c^2d^5) / 30c^4d^2?

 Oct 20, 2015
 #1
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How do I simplify 2c^3d(3c^2d^5) / 30c^4d^2?

 

Simplify the following:
(2×3 c^3 d c^2 d^5 c^4 d^2)/30

3/30 = 3/(3×10) = 1/10:
(2 c^2 d^5 c^3 d c^4 d^2)/10

2/10 = 2/(2×5) = 1/5:
(c^2 d^5 c^3 d c^4 d^2)/5

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

4+3+2 = 9:
(c^9 d^(5+2+1))/5

5+2+1 = 8:
Answer: | 
| (c^9 d^8)/5

 Oct 20, 2015

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