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