Question

Tanisha and Neal are simplifying the expression (StartFraction (x Superscript 4 Baseline) (y Superscript negative 5 Baseline) Over 3 (x squared) (y Superscript negative 3 Baseline) EndFraction) Superscript 4. They each began the same way. Tanisha’s Work Neal’s Work (StartFraction (x Superscript 4 Baseline) (y Superscript negative 5 Baseline) Over 3 (x squared) (y Superscript negative 3 Baseline) EndFraction) Superscript 4 = (StartFraction (x squared) (y Superscript negative 2 Baseline) Over 3 EndFraction) Superscript 4 (StartFraction (x Superscript 4 Baseline) (y Superscript negative 5 Baseline) Over 3 (x squared) (y Superscript negative 3 Baseline) EndFraction) Superscript 4 = StartFraction (x Superscript 16 Baseline) (y Superscript negative 20 Baseline) Over (3 Superscript 4 Baseline (x Superscript 8 Baseline) (y Superscript negative 12 Baseline) EndFraction Which statements are true about each person’s work? Check all that apply.

Answer 1

Tanisha’s Work and  Neal’s Work   are same

Step-by-step explanation:

Tanisha’s Work

(x⁴y⁻⁵/3x²y⁻³ )⁴

= (x²y⁻²/3 )⁴

Neal’s Work

(x⁴y⁻⁵/3x²y⁻³ )⁴

=  x¹⁶y⁻²⁰/3⁴x⁸y⁻¹²

Both work are right and Equivalent

Tanisha’s Work  = (x²y⁻²/3 )⁴   = x⁸y⁻⁸/3⁴

Neal’s Work  =  x¹⁶y⁻²⁰/3⁴x⁸y⁻¹²  = x⁸y⁻⁸/3⁴  

= (x²/3y²)⁴

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