How do you simplify (a^9b^-2c^1)^-4 * ((ab) / x)^3(a9b−2c1)−4⋅(abx)3?

1 Answer
Sonnhard
Jul 17, 2018

b^(11)/(a^33*c^4*x^3)b11a33⋅c4⋅x3

Explanation:

We need the rule :(a^n*b^m)^p=a^(np)b^(mp)(an⋅bm)p=anpbmp
so we get

(a^(-36)b^8c^(-4)*a^3*b^3)/x^3=(a^(-33)b^(11)*c^(-4))/x^3=b^11/(a^(33)*c^4*x^3)a−36b8c−4⋅a3⋅b3x3=a−33b11⋅c−4x3=b11a33⋅c4⋅x3

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