Back to Table of Contents
Exponential Growth
Summary
The content delves into the patterns of exponential growth, focusing on how the size of powers changes with increasing exponents across different types of bases.
- Exponential growth varies significantly with the base value; a base greater than one grows larger at an accelerating rate.
- A positive base less than one results in powers that decrease rapidly, becoming smaller with each increase in exponent.
- 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) approach zero with increasing exponents, also alternating between positive and negative values.
- The impact of increasing exponents on the power's size is contingent on the base's value, influencing GRE question strategies.
Chapters
00:48
Positive Bases Greater Than One
01:54
Positive Bases Less Than One
03:04
Negative Bases Less Than -1
04:37
Negative Fractions
