## Exponential Growth

Summary
The content delves into the patterns of exponential growth, focusing on how different bases affect the magnitude and direction of growth as exponents increase.
• Exponential growth varies significantly with the base of the number, with positive bases greater than one growing larger at an accelerating rate.
• Positive bases less than one result in values decreasing towards zero as the exponent increases, showcasing a diminishing pattern of growth.
• Negative bases less than -1 exhibit an alternating pattern of growth, with absolute values increasing but alternating between positive and negative.
• Negative fractions (bases between -1 and 0) also alternate between positive and negative, but their absolute values approach zero, indicating a diminishing pattern towards zero.
• The impact of increasing exponents on the magnitude of powers depends on the base, influencing whether powers get larger, smaller, or alternate in sign.
Chapters
00:00
Positive Bases Greater Than One
01:54
Positive Bases Less Than One
03:04
Negative Bases Less Than -1
04:37
Negative Fractions