If (ab)^m is represented, what is it equal to?

Prepare for the ABCTE Secondary Math Exam with challenging questions, helpful hints, and detailed explanations. Equip yourself with the knowledge needed to excel in your certification test!

When considering the expression ((ab)^m), it is crucial to apply the properties of exponents correctly. According to these properties, when we have a product raised to an exponent, the exponent can be distributed to both factors in the product.

This means that ((ab)^m) can be rewritten as (a^m \cdot b^m). Each factor within the parentheses is raised to the m-th power, resulting in the multiplication of (a^m) and (b^m). This is a fundamental property of exponents that allows for this distribution.

Therefore, ((ab)^m) equals (a^m \cdot b^m), confirming that the correct answer is indeed the option that reflects this property by expressing the product of the two terms raised to the same exponent.

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