How do you simplify (3wy ^-2)/((w^-1y)^3)?

1 Answer
May 5, 2015

We know that color(blue)((ab)^m = a^m*b^m

The denominator (w^-1y)^3 = w^(-1*3)y^3 = w^-3y^3

The expression can hence be written as (3wy^-2)/(w^-3*y^3)

= 3*(w/w^-1)*(y^-2/y^3)

We also know that color(blue)(a^m/a^n = a^(m-n)

= 3 * w^(1-(-1))*y^(-2-3)

= 3*w^2*y^-5

=color(green)( (3w^2)/y^5