Скачать или смотреть EL031 Algebra Basics: Exponents, Definitions, Rules, and Examples

Basic Definitions and Rules for manipulating integer #exponents Examples: The mass of how many earths equals that of the sun? Grains of wheat, the chess board, and partial sum of a #geometricseries How do you calculate interest compounded monthly? A basic #algebrareview for college and high school students. Subscribe ‪@Shahriari‬

00:00 Introduction
00:50 exponents a^n when n is a positive integer
02:25 exponents a^n when n=0
02:53 exponents a^n when n is a negative integer
04:04 Three basic rules for manipulating exponents
06:53 Two additional rules and why a^0 = 1 when a non-zero
09:05 Summary: Definitions and Rules for integer exponents
10:20 Example: Simplifying exponential expressions
12:33 Example: The mass of how many earths equals the mass of our sun?
14:00 Example: Grains of Wheat on the Chess Board & sum of geometric progression
16:24 Graph: Exponential Growth & Exponential Decay
17:51 Example: Compound Interest

One of a series of lectures by Shahriar Shahriari on elementary mathematics.

Shahriar Shahriari is the William Polk Russell Professor of Mathematics at Pomona College in Claremont, CA USA
Shahriari is a 2015 winner of the Mathematical Association of America's Haimo Award for Distinguished Teaching of Mathematics, and five time winner of Pomona College's Wig teaching award.