Which of the following is equal to (αβ)^n?

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Multiple Choice

Which of the following is equal to (αβ)^n?

Equality here rests on reflexivity: any expression is equal to itself. The expression (αβ)^n is already written exactly as it should be, so it matches perfectly and is equal by identity. You can also see the same value by using the rule (xy)^n = x^n y^n, which gives (αβ)^n = α^n β^n. That shows the same quantity expressed in a different form with the factors separated. The other forms would not represent the same quantity in general, for example changing to a sum inside the parentheses or keeping only one factor with the power changes the value.

Equality here rests on reflexivity: any expression is equal to itself. The expression (αβ)^n is already written exactly as it should be, so it matches perfectly and is equal by identity. You can also see the same value by using the rule (xy)^n = x^n y^n, which gives (αβ)^n = α^n β^n. That shows the same quantity expressed in a different form with the factors separated. The other forms would not represent the same quantity in general, for example changing to a sum inside the parentheses or keeping only one factor with the power changes the value.

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