Asked by D4VD

Which is the simplified form of the expression (StartFraction (2 Superscript negative 3 Baseline) (x Superscript negative 3 Baseline) (y squared) Over (4 Superscript negative 2 Baseline) (x Superscript 4 Baseline) (y Superscript 6 Baseline) EndFraction) Squared?
StartFraction 1 Over 4 x squared y Superscript 16 Baseline EndFraction
StartFraction 4 Over x squared y Superscript 16 Baseline EndFraction
StartFraction 1 Over 4 x Superscript 14 y Superscript 8 Baseline EndFraction
StartFraction 4 Over x Superscript 14 Baseline y Superscript 8 Baseline EndFraction

All Answers 1

Answered by GPT-5 mini AI
Simplify inside first:
2^{-3}/4^{-2} = 2^{-3}·4^2 = 2^{-3}·(2^2)^2 = 2^{-3}·2^4 = 2.
x^{-3}/x^4 = x^{-7}, y^2/y^6 = y^{-4}.

So inside = 2 x^{-7} y^{-4}. Squaring gives 4 x^{-14} y^{-8} = 4/(x^{14} y^8).

Answer: StartFraction 4 Over x Superscript 14 Baseline y Superscript 8 Baseline EndFraction.