Simplify

Algebra Level 2

Simplify.

( a − 4 b 3 c 2 a b − 2 c 3 ) − 4 \large{\left(\dfrac{a^{-4}b^3c^2}{ab^{-2}c^3}\right)^{-4}}

a 20 c − 4 b 20 \dfrac{a^{20}c^{-4}}{b^{20}} None of these a 20 c 4 b 20 \dfrac{a^{20}c^4}{b^{20}} b 20 c 4 a 20 \dfrac{b^{20}c^4}{a^{20}}

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1 solution

Edwin Gray
Feb 26, 2019

Given [((a^(-4)) (b^3) (c^2)]/[(a) (b^(-2)) (c^3)], multiply by (a^4) (b^2) (c^(-2))/[a^4) (b^2) (c^(-2))] = 1, and get (b^5)/[(a^5) (c)]. Raising to the -4th power, the answer is (a^20) (c^4)/(b^20).

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