Is the expression x^3·x^3·x^3 equivalent to x^3·3·3? Why or why not? Explain your reasoning. Please show and explain all steps thoroughly. Thank you for your time and help. There is a screenshot of the problem in case my typed version of the problem is not as understandable.

The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).

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when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

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