1. 25 = 32 Properties of Exponents Exponent Exponential Form Decimal Form
Base

2. Properties of roots and exponents
Let a and b be real numbers and m and n be rational numbers
Examples

3. Radical and Exponential forms
Examples: evaluate w/o calculator
Adding Radicals

4. Exponential Growth & Decay
Starting value
Time or number of repetitions
y = Cax
Ending value
Growth factor; a = 1 + r
growth r > 0, decay -1 < r < 0
The value of a rare coin increases an average of 3.5% annually. If it is valued at $20,000 today, what was its value 220 years ago?
Graphing – C is y intercept, a > 1 growth, 0 < a < 1 decay. Graph steeper as a increases.

5. Special Case – Compound Interest
Compounded Annually: A = P(1 + r)t
What is the balance a deposit of $500 paying 1.8% interest compounded annually after 8 years?
Compounded more frequently: A = P( 1 + r/n)nt
Quarterly  n = 4, Monthly  n = 12, Daily  n = 365
How much must be deposited in an account paying 2.5% compounded monthly in order to have $1500 in 3 years?

6. Ex. # 2 Isolate Radical Term Inverse – Square Root both sides Solve
Check answers

7. Graph square and cube root functions