Fixed typos and added a reference. (#27435)
* Fixed typos and added a reference. * fix: removed the word that
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Randell Dawson
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title: Exponents
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---
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## Exponents
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An exponent is shorthand for the the number of times a number is multiplied by itself. It is often denoted with a superscript, karat, or with "to the power of" such as:
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An exponent is shorthand for the number of times a number is multipled by itself. It is typically denoted with a superscript, karat, or with "to the power of" such as:
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- 2<sup>3</sup>
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- 2^3
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@ -16,20 +17,23 @@ The general format of writing an exponent is:
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- base<sup># of times you multiply base by itself</sup>
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Common exponents have special names:
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- Exponent of 2 is often referred to as squared. So 3<sup>2</sup> is referred to as 3 squared, evaluating to 9.
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- Exponent of 3 is often referred to as cubed. So 2<sup>3</sup> is referred to as 3 cubed, evaluating to 8.
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- An exponent of 2 means the number is squared. So 3<sup>2</sup> is referred to as 3 squared, evaluating to 9.
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- An exponent of 3 means the number is cubed. So 2<sup>3</sup> is referred to as 2 cubed, evaluating to 8.
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### Negative Exponents
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Negative exponents are computed similarly, except the value is placed as a denominator beneath a numerator of 1.
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For example, 2<sup>-2</sup> = 1/(2*2) = 1/4
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For example, 2<sup>-2</sup> = <sup>1</sup>/<sub>(2 * 2)</sub> = <sup>1</sup>/<sub>4</sub>
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### More Examples
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2<sup>5</sup> = 2*2*2*2*2 = 32
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2<sup>5</sup> = 2 * 2 * 2 * 2 * 2 = 32
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-2<sup>5</sup> = -2*-2*-2*-2*-2 = 32
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(-2)<sup>5</sup> = -2 * -2 * -2 * -2 * -2 = -32
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10<sup>6</sup> = 1,000,000
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2<sup>-5</sup> = 1/(2*2*2*2*2) = 32
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2<sup>-5</sup> = <sup>1</sup>/<sub>(2 * 2 * 2 * 2 * 2)</sub> = <sup>1</sup>/<sub>32</sub>
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### More Information:
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- [Wikipedia](https://en.wikipedia.org/wiki/Exponentiation)
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