In the algebraic expression, where is raised to the power , is called a base and is called an exponent. Here are the basic rules of exponents, where the bases and are nonzero real numbers and the exponents and are integers.
e.g.
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For e.g.
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e.g.
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Here are several pairs of expressions that are commonly mistaken to be identities.
Note that the bases are not the same.
Instead,
Recall that that is, the correct expansion contains terms such as .
Instead, . Note carefully where each minus sign appears.