(10x^2y^5z^-3a^-5b^7c^0 )

Simplify the following:
(10 x^2 y^5 b^7 c^0)/((z^3 a^5×5 x^4 y^8 z^7 c^3)/(a^9 b^8))

Multiply the numerator of (10 x^2 y^5 b^7 c^0)/((5 x^4 y^8 z^7 c^3 z^3 a^5)/(a^9 b^8)) by the reciprocal of the denominator. (10 x^2 y^5 b^7 c^0)/((5 x^4 y^8 z^7 c^3 z^3 a^5)/(a^9 b^8)) = (10 x^2 y^5 b^7 c^0 a^9 b^8)/(5 x^4 y^8 z^7 c^3 z^3 a^5):
(10 x^2 y^5 b^7 c^0 a^9 b^8)/(5 x^4 y^8 z^7 c^3 z^3 a^5)

10/5 = (5×2)/5 = 2:
(2 x^2 y^5 b^7 c^0 a^9 b^8)/(x^4 y^8 z^7 c^3 z^3 a^5)

Combine powers. (2 x^2 y^5 b^7 c^0 a^9 b^8)/(x^4 y^8 z^7 c^3 z^3 a^5) = 2 x^(2-4) y^(5-8) b^(8+7) c^(0-3) a^(9-5) z^(-3-7):
2 x^2-4 y^5-8 b^8+7 c^0-3 a^9-5 z^-3-7

2-4 = -2:
(2 x^-2 y^(5-8) b^(8+7) a^(9-5) z^(-3-7))/(c^3)

5-8 = -3:
((2 y^-3 b^(8+7) a^(9-5) z^(-3-7))/(c^3))/(x^2)

8+7 = 15:
((2 b^15 a^(9-5) z^(-3-7))/(c^3))/(x^2 y^3)

9-5 = 4:
(2 b^15 a^4 z^(-3-7))/(x^2 y^3 c^3)

-3-7 = -10:
Answer: | (2b^15 a^4 z^-10)/(x^2 y^3 c^3)