Bell Work8/25/14 Evaluate the expression.

Powers and Exponents TSWBAT: evaluate an expression that has an exponent. 11/15/2015 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. Roots & Irrational Numbers TSWBAT: find the root of a number.

Warm-Up Simplify the expression.

Notes Definitions - Power = an expression written with a base and an exponent. Ex. - Base = the number that is used as a factor. base - Exponent = tells how many times the base is going to be a factor. exponent Ex.

Notes Now you try. Ex. Simplify each expression. Ex.

Notes Now you try. Ex. Simplify each expression. Ex.

Notes Now you try. Ex. Compare with, or =. Ex.

Notes Definitions - Square Root = What number times itself equals the radicand. Ex. - Perfect Square = a number whose square root is a whole number. Ex. - Radicand = The number inside of the square root symbol. Ex. = The radicand is 9.

Notes Ex. Positive Root Ex. Negative Root Positive & Negative Root Ex. No real number times ITSELF is negative. Make a table. Find the square root.

Notes Ex. Find each root. Ex. Now you try.

Notes Ex. Find each root. Now you try. Ex.

Notes Cube Root = What number times itself 3 times equals the radicand. Make a table. Find the cube root. Ex. Now you try.

Notes Ex. Find each root. Now you try. Ex.

Summary To find the square root of a number just figure out which number times _____ equals the radicand. If it is a fraction, just find the square root of the top and _______ separately. If it is a _____ root do the same thing except find the number that times itself three times equals the _________. itself bottom cube radicand A power is an expression that has an _________. The base is the factor, and the exponent tells you how many _______there are. To solve a power, just write down the base as many times as the exponent says, then ________. exponent factors multiply

Homework Simplify.

Today’s Homework 1.Pencil ONLY. 2.Must show all of your work. NO WORK = NO CREDIT 3.Must attempt EVERY problem. 4.Always check your answers. Rules for Homework

Today’s Homework 1.Pencil ONLY. 2.Must show all of your work. NO WORK = NO CREDIT 3.Must attempt EVERY problem. 4.Always check your answers. Rules for Homework

Complete the Ticket Out the Door without talking!!!!! Talking = time after the bell! Ticket Out the Door Put your NAME on the paper. When finished, turn your paper face DOWN. Evaluate the expression. Find the root.

Class Work Evaluate the expression. Compare with, or =.