How do you simplify \frac { 5x ^ { - 1} y } { 10( x ^ { 5} y ^ { 4} ) ^ { - 3} }?

1 Answer
Jul 31, 2017

(x^14 y^13)/(2)

Explanation:

(5x^-1 y)/(10(x^5 y^4)^-3)

1/x^-2=x^2, so:

(5x^-1 y(x^5 y^4)^3)/(10)

(x^a)^b = x^(a*b), so:

(5x^-1 y x^15 y^12)/(10)

x^a * x^b= x^(a+b), so:

(5x^14 y^13)/(10)

(x^14 y^13)/(2)