Warm up Today’s warm up is in your warm up notebook. 1. a. b. 2.Simplify: (5y – 3) x – 10 = 2 – (x + 4) 4. Find the slope of the line that passes through: (6,3) and (7, -4)

EXPONENTS Write each expression using exponents : a.2 x 2 x 2 x 2 x 2 b.5 · 5 c.½ · ½ · ½ d.y· y· y· y e.a x a x b x b Evaluate each expression : a.3² b.4³ c.(-2)³ d.(-6)² e.( )³

Laws of Exponents Multiplication 1. Write a 4 b 7 x a 2 b 3 without using exponents. DO NOT multiply them out. How many a ’ s are being multiplied? How many b ’ s are being multiplied? Rewrite your expression using exponents. 2. Write m 4 n 3 x m 3 n without using exponents. DO NOT multiply them out. a. How many m ’ s are being multiplied? How many n ’ s are being multiplied? b. Rewrite your expression using exponents. c. Look at Questions 1 and 2 above. What patterns do you notice? What rule can you generalize about multiplying expressions with like bases? Try your new rule: 3. (x 2 y 4 z 3 )(xy 5 z 7 ) 4.(r 6 s 4 t 3 )(r 2 s 3 t 2 u)(rs 7 t 5 ) Create your own. Solve on a separate piece of paper. Have a partner solve and then check their answer against your own.

Warm up Today’s warm up is to be done on paper. Hand it in for a grade!! 1. Find: 2. Using (2,2) and m = -3 write the equation of the line. 3. Find the missing measure: a = 1; c = 11; b = ? 4. Simplify: 5.

Time to put your thinking cap on!! Text your answer to Watch this short video clip on using exponents and then.....

Laws of Exponents Division 1. Write x 5 y 3 without using exponents. DO NOT divide them out. x 2 y a. Cancel out any common factors between the numerator and denominator. How many x ’ s remain? How many y ’ s remain? b.Rewrite your expression using exponents. 2. Write g 2 h 8 without using exponents. DO NOT divide them out. g 2 h 5 a. Cancel out any common factors between the numerator and denominator. How many g ’ s remain? How many h ’ s remain? b. Rewrite your expression using exponents. c.Look at Questions 1 and 2 above. What patterns do you notice? What rule can you generalize about dividing expressions with like bases? Try your new rule: 3. x 4 y 12 z 20 xy 5 z 8 4. cd 36 e 20 cd 6 e 5 Create your own problem. Solve on a separate piece of paper. Have a partner solve and then check their answer against your own.

Warm up A student in the class has been ill and has missed the first few lessons on exponents. Mrs. Hitt has tasked you with explaining to the student what they have missed. You go home and prepare a short paragraph to ensure that you don’t leave out any important information. What would your paragraph look like? Remember, it is important to use the correct mathematical terms! Now, you have given her/him the following problem to solve: Their solution is: Explain to her/him where they may have gone wrong.

Laws of Exponents Power to a Power 1. Write (a 3 b 5 ) 2 without using exponents. DO NOT multiply out. a. How many a ’ s are being multiplied? How many b ’ s are being multiplied? b. Rewrite your expression using exponents. 2. Write (m 2 n 5 ) 3 without using exponents. DO NOT multiply out. a. How many m ’ s are being multiplied? How many n ’ s are being multiplied? b. Rewrite your expression using exponents. c. Look at Questions 1 and 2 above. What patterns do you notice? What rule can you generalize about raising expressions with like bases to a power? Try your new rule: 3.(x 3 y 4 z 4 ) 2 Create your own power to a power problem. Solve on a separate piece of paper. Have a partner solve and then check their answer against your own.

1.A cube has three-inch edges. What is the distance between opposite corners of the cube? (You may not use your calculator!!) 2.Simplify: 3.Evaluate: 4.Solve: Warm up

Time for a bit of review. Watch the following You Tube video on exponents and the first three laws we have discovered. Write down a short paragraph on what was said. Turn your paragraph in for a grade. Now, watch this music video

1.Evaluate: 2.Determine whether the side measures form right triangles: 4, 4, 3.Write the equation of the line that has a slope of -4 and passes through the point (5,0) 4. Warm up Today’s warm up is in your warm up book