avabaxley17
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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

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Answer:

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.    

plz thank if you learned

Be sure to make it into your own words so that it is not the same.

MrRoyal

Alisha's claim is correct

The expression is given as:

[tex]\frac{m^2n^{-3}}{m^6n^{-1}}[/tex]

When the numerator, and the denominator of the expression is raised to the power of 3, the new expression is different from the original expression.

i.e.

[tex]\frac{m^2n^{-3}}{m^6n^{-1}} \ne (\frac{m^2n^{-3}}{m^6n^{-1}})^3[/tex]

However, when the quotient is simplified, the expression becomes

[tex]\frac{m^2n^{-3}}{m^6n^{-1}} =m^{-4}n^{-2}[/tex]

Hence, Alisha's claim is correct

Read more about expressions at:

https://brainly.com/question/4174083

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