Question

Tanisha and Neal are simplifying the same expression (StartFraction (x Superscript 4 Baseline) (y Superscript negative 5 Baseline) Over 3 (x squared) (y Superscript negative 3 Baseline) EndFraction) Superscript 4. 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? Select the four correct answer choices. Tanisha correctly simplified the power of a product in her first step by adding exponents. Tanisha’s next step is to apply the power of a product. Tanisha’s work is correct. Neal’s next step is to apply the quotient of powers. The correct simplified answer is StartFraction x Superscript 8 Baseline Over 3 y Superscript 8 Baseline EndFraction. Neal’s work is correct.

Answer 1

The correct statements about Tanisha and Neal's work are;

1. Tanisha's next step is to apply the power of a product.

2. Neal's next step is to apply the quotient of the power.

3. Neal's work is correct.

Given that

Expression; $\rm\left ( \dfrac{x^4 (y^{-5})}{3x^2 (y^{-3})} \right )^4$

We have to determine

Which statements are true about each person’s work?

According to the question

The correct simplified expression is;

$\rm =\left ( \dfrac{x^4 (y^{-5})}{3x^2 (y^{-3})} \right )^4\\ \\\\ = \dfrac{x^{16}(y^{-20})}{81 x^8 (y^{-12})}\\\\ \\= \dfrac{x^8(y^{(-20+12)})}{81}\\\\ \\ = \dfrac{x^8 (y^{-8})}{81}\\ \\ = \dfrac{x^8}{81 y^8}$

The correct statements about Tanisha and Neal's work are;

1. Tanisha's next step is to apply the power of a product.

2. Neal's next step is to apply the quotient of the power.

3. Neal's work is correct.

To know more about Expression click the link given below.

https://brainly.com/question/14750799

Answer 2

Answer:

BCDF is the answer.

Tanisha’s next step is to apply the power of a product.

Tanisha’s work is correct.

Neal’s next step is to apply the quotient of powers.

Neal’s work is correct.

Step-by-step explanation: