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

Answer 1

Alisha is correct; one should apply the quotient of powers rule by subtracting the exponents of the numerator and the denominator before cubing the expression. The simplified form is then found by raising the result to the third power, multiplying the exponents by three.

Step-by-step explanation:

Between Tyrone's and Alisha's claims, Alisha's approach is correct. The expression to simplify is ((m2n-3)/(m6n-1))3. According to the rules for dealing with exponents, when you have a fraction being raised to a power, you apply the quotient of powers rule before cubing the entire expression. This means that you first subtract the exponents within the numerator and the denominator before raising the simplified result to the third power.

The correct steps are as follows:

1. Subtract the exponents of m in the numerator and denominator (2 - 6 = -4).
2. Subtract the exponents of n in the numerator and denominator (-3 - (-1) = -2).
3. You now have (m-4n-2)3.
4. Cube the simplified expression by multiplying the exponents by 3: m-12n-6.

Answer 2

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.