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

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Answer 1 · 2015-05-05T06:59:34

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#