- Friday, November 14. Topics Covered:
- Multiplication Property of Exponents
\(a^m \cdot a^n = a^{m+n}\)
\((a^m)^n = a^{m \cdot n}\)
\((a \cdot b)^m = a^m \cdot b^m\)
Division Property of Exponents
\(\frac{a^m}{a^n} = a^{m-n}\)
\((\frac{a}{b})^m = \frac{a^m}{b^m}\)
Zero and Negative Exponents
Let \(a\) be a nonzero number and let \(n\) be a poitive
integer.
\(a^0 = 1\)
\(a^{-n}\) is the reciprocal of \(a^n: a^{-n} = \frac{1}{a^n}\)
Scientific Notation
A number in scientific notation is written as \(c \times 10^n\), where \(1 \leq c \leq 10\) and \(n\) is an integer
Why are we learning this?
Understanding exponent rules has direct application to computing numbers in scientific notation, adding or multiplying volumes of liquids,
adding or multiplying areas in a room, determining volume of mulch or soil needed to cover a section of a garden or farm, cost calculation for the mulch or soil, many applications in
chemistry and physics which are fundamental to any career in health, medicine, nutrition, and chemistry.
Homework 3, due 11/21
Homework 3, finish what was not completed in class.