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Fantom [35]
2 years ago
11

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

Mathematics
1 answer:
ozzi2 years ago
6 0

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

<h3>How to understand power properties</h3>

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

#SPJ1

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