Difference between revisions of "Exponentiation"

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In mathematics, '''exponentiation''' is the name for the operation also called ''raising to a power.'' In simple cases, it refers to repeated multiplication. It is indicated by a ''superscript,'' a small number or expression written above the line:
 
In mathematics, '''exponentiation''' is the name for the operation also called ''raising to a power.'' In simple cases, it refers to repeated multiplication. It is indicated by a ''superscript,'' a small number or expression written above the line:
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*2<sup>6</sup>, "two to the sixth power," 2&middot;2&middot;2&middot;2&middot;2&middot;2 = 64
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*2<sup>6</sup>, "two to the sixth power," 2 &middot; 2 &middot; 2 &middot; 2 &middot; 2 &middot; 2 = 64
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*''x''<sup>4</sup>, "''x'' to the fourth power," ''x''&middot;''x''&times;''x''&times;''x''
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*''x''<sup>4</sup>, "''x'' to the fourth power," ''x'' &middot; ''x'' &middot; ''x'' &middot; ''x''
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*''y''<sup>''n''</sup>, "''y'' to the n-th power," ''y''&middot;''y''&middot;''y''&middot; ... &middot;''y'', where ''y'' appears ''n'' times.
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*''y''<sup>''n''</sup>, "''y'' to the n-th power," ''y'' &middot; ''y'' &middot; ''y'' &middot; ... &middot; ''y'', where ''y'' appears ''n'' times.

Revision as of 19:12, June 19, 2007

In mathematics, exponentiation is the name for the operation also called raising to a power. In simple cases, it refers to repeated multiplication. It is indicated by a superscript, a small number or expression written above the line:

  • 26, "two to the sixth power," 2 · 2 · 2 · 2 · 2 · 2 = 64
  • x4, "x to the fourth power," x · x · x · x
  • yn, "y to the n-th power," y · y · y · ... · y, where y appears n times.