P2 Exponents & Radicals

What does an exponent tell you?? Repeated Multiplication How many times you multiply the base by itself.

Expand the following: General Rule on Negatives:

Properties of Exponents

Examples

Try Some Harder Ones

Scientific Notation

Radicals and their Properties Square RootCube Root One of its two equal factors One of its three equal factors If a and b are real numbers,, then

Examples

Properties of Radicals

Let’s Look at Property #6 Ok… think about this What are the solutions to this?

Let’s Try a few

Simplifying Radicals No denominators with Radicals & All numbers and exponents in simplest form List: All perfect squares from All perfect cubes from 1- 6 All perfect fourths from 1- 4 All perfect fifths from 1- 4

Warm-up

Adding and Subtracting Radicals must be “like radicals” (same index and radicand) Examples

Rationalizing Denominators & Numerators Ex. 1 Ex. 2

Ex. 3 (with 2 terms in the denominator) Ex. 4 (with 2 terms in the numerator)

Now You Try Some

Rational Exponents Examples