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Because the power, when used on units, expresses what dimension that unit is in. For shapes, the 3rd power represents the 3rd dimension, and the most well-known shape of that dimension is a cube (length * width * height = 3 dimensions).

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What is an Verbal expression for 7 to the 3rd power?

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An exponential or power term.


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Because 2 to the third power is the numeric value of the volume in cubic units of a cube that is 2 length units on each edge.


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