Warm Up Write down the best thing you did over the holiday break

Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 1: nth roots and rational exponents

VOCAB

Rules N is odd then a has one root N is even and a > 0 then a has 2 real roots N is even and a = 0 then a has 1 real root and it is 0 N is even and a < 0 then a has 0 real roots but 2 imaginary roots

TODAY Today we will be learning how to write powers as exponential equations. In order to solve them you have to understand what they mean.

Directions (Writing Roots) Plug the numbers into the formula

I DO (Writing Roots) 1. n = 3a = 8 2. n = 5a = 7 3. n = 2a = 6 4. n = 9a = 12

WE DO (Writing Roots) 1. n = 6a = n = 7a = n = 3a = 7 4. n = 13a = 4

YOU DO (Writing Roots) 1. n = 5a = n = 71a = n = 21a = n = 13a = 1296

Directions (Rewriting Problems) Use the formula to rewrite

I DO (Rewriting Problems)

WE DO (Rewriting Problems)

YOU DO (Rewriting Problems)

Review Today you learned how to rewrite radical expressions

Homework Worksheet – 7.1A (1 – 24)

Warm Up

Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 1: nth roots and rational exponents

TODAY We will evaluate rationals by hand and in the calculator.

Directions (HAND) Think small to big. ROOT

Special Directions When you have a negative exponent – Change the exponent to a positive – Flip the numerator and denominator AKA reciprocal EVEN POWERS NEED ± – EXCEPT when there is a negative out front

I DO (Hand)

WE DO (Hand)

YOU DO (Hand)

Directions (Calculator) Write the problem in exponent form Type in the calculator – Remember the ^ is for big powers – Remember you need parenthesis for negatives and fractions ROUND to 2 decimals

I DO (Calculator)

WE DO (Calculator)

YOU DO (Calculator)

Review What did you learn today?

Homework Worksheet – 7.1 (25 – 45)