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Explain Why the product of power property makes mathematical sense? - Answers

The product of powers property states that when multiplying two expressions with the same base, you add their exponents. This makes mathematical sense because multiplying identical bases together involves combining their repeated factors. For example, (a^m \times a^n) can be expressed as (a) multiplied by itself (m) times, and then (n) additional times, resulting in (a^{m+n}). This property simplifies calculations and helps maintain consistency in exponent rules.



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Explain Why the product of power property makes mathematical sense? - Answers

https://math.answers.com/math-and-arithmetic/Explain_Why_the_product_of_power_property_makes_mathematical_sense

The product of powers property states that when multiplying two expressions with the same base, you add their exponents. This makes mathematical sense because multiplying identical bases together involves combining their repeated factors. For example, (a^m \times a^n) can be expressed as (a) multiplied by itself (m) times, and then (n) additional times, resulting in (a^{m+n}). This property simplifies calculations and helps maintain consistency in exponent rules.



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https://math.answers.com/math-and-arithmetic/Explain_Why_the_product_of_power_property_makes_mathematical_sense

Explain Why the product of power property makes mathematical sense? - Answers

The product of powers property states that when multiplying two expressions with the same base, you add their exponents. This makes mathematical sense because multiplying identical bases together involves combining their repeated factors. For example, (a^m \times a^n) can be expressed as (a) multiplied by itself (m) times, and then (n) additional times, resulting in (a^{m+n}). This property simplifies calculations and helps maintain consistency in exponent rules.

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      The product of powers property states that when multiplying two expressions with the same base, you add their exponents. This makes mathematical sense because multiplying identical bases together involves combining their repeated factors. For example, (a^m \times a^n) can be expressed as (a) multiplied by itself (m) times, and then (n) additional times, resulting in (a^{m+n}). This property simplifies calculations and helps maintain consistency in exponent rules.

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