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I saw this question. Now the question is above my current ablility. I understand what is written but I don't believe I understand the meaning of what is written.

So step one I need to understand is:

How to find the exponent of the absolute value of a number

I know that the abs of a number is distance, depending upon which space one is in.

But, absolute values have two conditions and $(-3)^3 \neq (3^3)$ So that is my question.

Could someone explain with at least one example of how to take the exponent of the absolute value of a number?

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You take the absolute value first, then raise to the power. This is nice in that the base is then known to be positive, and raising to a real power is defined. So $|-3|^4=3^4=81$ and $|-8|^{\frac 12}=8^{\frac 12}=2\sqrt 2$