Question

4. [4 pts] For any non-zero number a, one can explain why aº = 1 by the rules of exponents.

Answer 1

Due to length restrictions, we kindly invite to read the explanation of this question to learn more on power properties.

How to understand power properties

Herein we must explain some properties of power expressions with integer exponents. A power of the form aᵇ is a product of the form a × a ×  a × a × ... × a, where a is repeated b times. a and b are the base and the exponent of the power.

First, we proceed to demonstrate that a⁰ = a:

a⁰            Given

a¹ ⁻ ¹        Existence of the additive inverse / Modulative property

a¹ · a⁻¹     Multiplication of powers of equal base

a¹ · (a¹)⁻¹   Power of a power / (- a) · b = - a · b

1               Existence of multiplicative inverse / Modulative property / Result

By definition of power, we find that a¹ as a is only only time.

To learn more on power properties: brainly.com/question/2499975

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