Difference between revisions of "Math 22 Exponential Functions"

Revision as of 06:15, 11 August 2020

 If  $a>0$  and  $a\neq 1$ , then the exponential function with base  $a$  is  $a^{x}$

Let $a$ and $b$ be positive real numbers, and let $x$ and $y$ be real numbers.

1. $a^{0}=1$

2. $a^{x}a^{y}=a^{x+y}$

3. ${\frac {a^{x}}{a^{y}}}=a^{x-y}$

4. $(a^{x})^{y}=a^{xy}$

5. $(ab)^{x}=a^{x}b^{x}$

6. $({\frac {a}{b}})^{x}={\frac {a^{x}}{b^{x}}}$

7. $a^{-x}={\frac {1}{a^{x}}}$

This page were made by Tri Phan

@@ Line 1: / Line 1: @@
 ==Definition of Exponential Function==
    If <math>a>0</math> and <math>a\ne 1</math>, then the exponential function with base <math>a</math> is <math>a^x</math>
+==Properties of Exponents==
+Let <math>a</math> and <math>b</math> be positive real numbers, and let <math>x</math> and <math>y</math> be real numbers.
+.<math>a^0=1</math>
+.<math>a^xa^y=a^{x+y}</math>
+.<math>\frac{a^x}{a^y}=a^{x-y}</math>
+.<math>(a^x)^y=a^{xy}</math>
+.<math>(ab)^x=a^xb^x</math>
+.<math>(\frac{a}{b})^x=\frac{a^x}{b^x}</math>
+.<math>a^{-x}=\frac{1}{a^x}</math>
 [[Math_22| '''Return to Topics Page''']]
 '''This page were made by [[Contributors|Tri Phan]]'''