How do you simplify #( 15x^-2 y^9)^ -2/( 18x^2 y^3)#?

1 Answer
Mar 3, 2018

Answer:

#x^2/(4050y^21)#

Explanation:

Start with:
#( 15x^-2 y^9)^ -2/( 18x^2 y^3)#

Distribute the power in the numerator:
#((15)^-2(x^-2)^-2(y^9)^-2)/(18x^2y^3)#

Simplify the numerator:
#((15)^-2x^4y^-18)/(18x^2y^3)#

Move terms to make all powers positive:
#(x^4)/((15)^2(18)x^2y^18y^3)#

Simplify the denominator:
#(x^4)/(4050x^2y^21)#

Divide the x terms:
#x^2/(4050y^21)#