Homework: Complete the following 5 problems. You have 10 minutes. (you may copy from your homework.)

Use inequality and interval notation to describe the set.› 35. is nonnegative.

Evaluate the expression for the given values of and . › 59.

Identify the terms. Then identify the coefficients of the variable terms of the expression.› 93.

Identify the rule(s) of algebra illustrated by the statement.› 105.

Perform the operation. (Write fractional answers in simplest form)› 111.

P.2 Exponents and Radicals

Exponential Form

Form of notation for writing repeated multiplication using exponents

Exp

on

en

tial F

orm

Exponential FormRepeated Multiplication

If is a real number, variable, or algebraic expression, and is a positive integer, then:

(n factors)

Properties of Exponents (pg 12)

Recognize the difference of and

Examples

SCIENTIFIC NOTATION

Real Number written in the form , where and is an integer

Negative Exponent = less than 1 (think decimal)

Positive Exponent = 10 or greater

ROOTS (POSITIVE): INDEX OF THE RADICAL

Square root: one of two equal factors of a number

is the square root of ›

is the cube root of ›

Cube root: one of three equal factors of a number

Principal root: root that has the same sign as the radicand

Examples:

*Properties of Radicals Page 16*

Simplifying Radicals

An Expression involving radicals is in simplest form when:1. All possible factors have been

removed from the radical2. All fractions have radical free

denominator3. Index of the radical is reduced

Examples

4√ 48

❑√75 𝑥3

3√24

Like Radicals

Radicals having the same index and

radicand

Like radicals:

Not like radicals:

Examples

2√48−3√27

Rationalizing the denominator Conjugate:

52√3

23√5

23+√7

Rational Exponents

; is the rational exponent of

Numerator: power Denominator: index/root