Which expression is equivalent to (StartFraction (3 x y Superscript negative 5 Baseline) cubed Over (x Superscript negative 2 Baseline y squared) Superscript negative 4 Baseline) EndFraction) Superscript negative 2? Assume StartFraction x Superscript 10 Baseline y Superscript 14 Baseline Over 729 EndFraction.
StartFraction x Superscript 10 Baseline y Superscript 14 Baseline Over 729 EndFraction
StartFraction x Superscript 22 Baseline Over 18 y Superscript 46 Baseline EndFraction
StartFraction 729 Over x Superscript 10 Baseline y Superscript 14 Baseline EndFraction
StartFraction 18 y Superscript 46 Baseline Over x Superscript 22 Baseline EndFraction

Question

contestada

Respuesta :

ACCESS MORE ACCESS MORE ACCESS MORE ACCESS MORE

AFOKE88 AFOKE88 · Answer 1 · 2022-06-27T18:22:33+02:00

The expression that is equivalent to [(3xy⁻⁵)³/(x⁻²y²)⁻⁴]⁻² is; x¹⁰y¹⁴/729

The fraction we want to simplify is;

[(3xy⁻⁵)³/(x⁻²y²)⁻⁴]⁻²

Evaluating the exponents gives us;

[(3xy⁻⁵)³/(x⁻²y²)⁻⁴]⁻² = [(3³x³y⁻¹⁵)/(x⁻⁸y⁸)]⁻²

⇒ [27x³y⁻¹⁵/(x⁸y⁻⁸)]⁻²

This reduces further to;

27⁻²x⁻⁶y³⁰/(x⁻¹⁶y¹⁶)

Simplifying further would result in;

x¹⁰y¹⁴/729

Read more about Fractions at; https://brainly.com/question/11562149

#SPJ1