1. Preview to the Exponential Number System September 4th, 2015

2. Vocabulary Used in the Exponential Number System Exponential Equation or Exponential Expression? base exponent/ power base exponent/ Power Root: the inverse of a power/exponent; the root of a number is a number that, when multiplied by itself a given number of times, equals

3. Vocabulary Used in the Real Number System Real Numbers: the set of all rational and irrational numbers Rational Number: any number that can be written as, where both and are integers and ; any number that can be written as a decimal that ends or repeats Integer: a number that is not a fraction or a decimal

4. Properties of Exponents Zero Exponent Property Negative Exponent Property Product of Powers Property Quotient of Powers Property Power of a Power Property Power of a Product Property Power of a Quotient Property

5. Rational Exponents Solve for x.

6. So what does an exponent of 1/2 mean? It is the same as taking the square root, How can you prove it? Prove that

7. Since roots are the inverses of powers, we know that Find out what exponent can replace the cube root by solving for x.

8. Use the pattern you’ve discovered to write the root equivalent to each rational exponent.

9. So can you write a rule that is always true for rewriting rational exponents as roots?