# law of exponents

## law of exponents

[′lȯ əv ik′spō·nəns] (mathematics)

Any of the laws

*a*^{ m }*a*^{ n }=*a*^{ m + n },*a*^{ m }/*a*^{ n }=*a*^{ m-n }, (*a*^{ m })^{ n }=*a*^{ mn }, (*ab*)^{ n }=*a*^{ n }*b*^{ n }, (*a*/*b*)^{ n }=*a*^{ n }/*b*^{ n }; these laws are valid when*m*and*n*are any integers, or when*a*and*b*are positive and*m*and*n*are any real numbers. Also known as exponential law.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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