Exponential Properties - Revision history

Lila at 19:48, 22 September 2021

2021-09-22T19:48:42Z

Lila: /* Resources */

2021-09-16T19:30:05Z

Resources

Lila: /* Introduction */

2021-09-16T19:21:55Z

Introduction

Lila: /* Introduction */

2021-09-16T19:07:44Z

Introduction

Lila: /* Introduction */

2021-09-16T19:05:53Z

Introduction

Lila at 19:04, 16 September 2021

2021-09-16T19:04:33Z

Lila: /* Introduction */

2021-09-16T19:03:00Z

Introduction

Lila: Created page with "==Introduction== Exponential properties can be used to manipulate equations involving exponential expressions and/or functions. Here are some important exponential properties:..."

2021-09-16T17:44:50Z

Created page with "==Introduction== Exponential properties can be used to manipulate equations involving exponential expressions and/or functions. Here are some important exponential properties:..."

New page

==Introduction==
Exponential properties can be used to manipulate equations involving exponential expressions and/or functions. Here are some important exponential properties:
* Negative exponent property: For any number <math> a </math>, <math> a^{-n} = \frac{1}{a^{n}} </math> and <math> \frac{1}{a^{-n}} = a^{n} </math>.
* Product of like bases: For

Special exponential properties involving 0:
==Resources==
* [https://tutoring.asu.edu/sites/default/files/exponentialandlogrithmicproperties.pdf Exponential and Logarithmic Properties], Arizona State University

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 * Multiple powers: <math> (a^m)^n = a^{mn} = (a^n)^m </math>
 * Product to a power: <math> (ab)^n = a^nb^n </math>
-* Quotient to a power: <math> (\frac{a}{b})^n = \frac{a^n}{b^n} </math>
+* Quotient to a power: <math> \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} </math>
 Special cases involving 0:

← Older revision		Revision as of 19:30, 16 September 2021
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	==Resources==		==Resources==
	* [https://tutoring.asu.edu/sites/default/files/exponentialandlogrithmicproperties.pdf Exponential and Logarithmic Properties], Arizona State University		* [https://tutoring.asu.edu/sites/default/files/exponentialandlogrithmicproperties.pdf Exponential and Logarithmic Properties], Arizona State University
		+	* [https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/a/exponent-properties-review Exponent Properties Review], Khan Academy

@@ Line 1: / Line 1: @@
 ==Introduction==
 Exponential properties can be used to manipulate equations involving exponential expressions and/or functions. Here are some important exponential properties:
-* Negative exponent property: For any number <math> a </math>, <math> a^{-n} = \frac{1}{a^{n}} </math> and <math> \frac{1}{a^{-n}} = a^{n} </math>.
+* Negative exponent property: <math> a^{-n} = \frac{1}{a^{n}} </math> and <math> \frac{1}{a^{-n}} = a^{n} </math>
-* Product of like bases: For
+* Product of like bases: <math> a^ma^n = a^{m+n} </math>
-Special exponential properties involving 0:
+Special cases involving 0:
 * For any nonzero number <math> a </math>, <math> a^0 = 1 </math>.
 * For any positive number <math> m </math>, <math> 0^m = 0 </math>.
-* <math> 0^m </math> does not exist when m is negative (since <math> 0^{-n} = 1/0^n = 1/0 </math>). <math> 0^0 </math> is indeterminate or undefined depending on the context).
+* <math> 0^m </math> does not exist if m is negative (since <math> 0^{-n} = 1/0^n = 1/0 </math>).
 ==Resources==
 * [https://tutoring.asu.edu/sites/default/files/exponentialandlogrithmicproperties.pdf Exponential and Logarithmic Properties], Arizona State University

@@ Line 7: / Line 7: @@
 * For any nonzero number <math> a </math>, <math> a^0 = 1 </math>.
 * For any positive number <math> m </math>, <math> 0^m = 0 </math>.
-* <math> 0^m </math> does not exist when m is negative (since <math> 0^{-n} = 1/0^n = 1/0 </math>), and <math> 0^m </math> is either undefined or indeterminate when <math> m = 0 </math> (that is, <math> 0^0 </math> is undefined or indeterminate depending on the context).
+* <math> 0^m </math> does not exist when m is negative (since <math> 0^{-n} = 1/0^n = 1/0 </math>). <math> 0^0 </math> is indeterminate or undefined depending on the context).
 ==Resources==
 * [https://tutoring.asu.edu/sites/default/files/exponentialandlogrithmicproperties.pdf Exponential and Logarithmic Properties], Arizona State University

@@ Line 7: / Line 7: @@
 * For any nonzero number <math> a </math>, <math> a^0 = 1 </math>.
 * For any positive number <math> m </math>, <math> 0^m = 0 </math>.
-* <math> 0^m </math> does not exist when m is negative (since <math> 0^{-n} = 1/0^n = 1/0 </math>), <math> 0^n </math> and is either undefined or indeterminate when <math> n = 0 </math> (that is, <math> 0^0 </math> is undefined or indeterminate depending on the context).
+* <math> 0^m </math> does not exist when m is negative (since <math> 0^{-n} = 1/0^n = 1/0 </math>), and <math> 0^m </math> is either undefined or indeterminate when <math> m = 0 </math> (that is, <math> 0^0 </math> is undefined or indeterminate depending on the context).
 ==Resources==
 * [https://tutoring.asu.edu/sites/default/files/exponentialandlogrithmicproperties.pdf Exponential and Logarithmic Properties], Arizona State University