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Exponent Concepts

Module by: Kenny M. Felder. E-mail the author

Summary: This module introduces the concept of exponents in algebra.

An exponent means repeated multiplication. For instance, 106106 size 12{"10" rSup { size 8{6} } } {} means 10⋅10⋅10⋅10⋅10⋅1010⋅10⋅10⋅10⋅10⋅10 size 12{"10" cdot "10" cdot "10" cdot "10" cdot "10" cdot "10"} {}, or 1,000,000.

You’ve probably noticed that there is a logical progression of operations. When you add the same number repeatedly, that’s multiplication. When you multiply the same number repeatedly, that’s an exponent.

However, there is one vital difference: addition and multiplication commute, but exponentiation does not commute. This is a fancy way of saying that order matters. 2+3=3+22+3=3+2 size 12{2+3=3+2} {}; and 2⋅3=3⋅22⋅3=3⋅2 size 12{2 cdot 3=3 cdot 2} {}, but 2323 size 12{2 rSup { size 8{3} } } {} is not the same as 3232 size 12{3 rSup { size 8{2} } } {}.

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A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

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