Question

Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third power. Alisha claims that the first step to simplify is to apply the quotient of powers. Who is correct? Explain.
(StartFraction m squared n Superscript negative 3 Baseline Over m Superscript 6 Baseline n Superscript negative 1 Baseline EndFraction) cubed
Sample Response: Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.

Which did you include in your response?
Both are correct.
Order does not matter.
The results are the same whatever the order.
Be sure to apply the rules properly.

Answer 1

Answer:

Alisha is correct

Step-by-step explanation:

Whereby the given expression is as follows;

$\dfrac{m^2 \cdot n^{-3}}{m^6 \cdot n^{-1}}$

We have;

$\dfrac{m^2 \cdot n^{-3}}{m^6 \cdot n^{-1}} = m^{(2 - 6)} \times n^{(-3 - (-1))} = m^{(2 - 6)} \times n^{(-3 - (-1))} = m^{-4} \times n^{-2}$

The first step to simplify the above expression is to apply the quotient of power

Therefore, Alisha is correct.