Stand Quietly

Basic Exponents Students will be able to identify exponent, power, and base of each given problem as evidenced by the Exponent Problems.

Homework (10/14/2016) Chapter 1 Study Guide Packet Page 2

Definition of Exponent An exponent tells how many times a number is multiplied by itself. Exponent/power 3 4 Base

𝟒 𝟑 = 𝟒 𝟒 𝟒 =𝟔𝟒 Exponent form: 4 3 Expanded form: (4)(4)(4) Standard form: 64

How to read an Exponent This exponent is read three to the fourth power. Exponent or power 3 4 Base

How to read an Exponent This exponent is read three to the 2nd power or three squared. Exponent or power 3 2 Base

How to read an Exponent This exponent is read three to the 3rd power or three cubed. Exponent or power 3 3 Base

What is the Exponent? 3 (-2)(-2)(-2) = (-2)

What is the Exponent? 2 3(3) = 3

What is the Exponent? 4 (-5)(-5)(-5)(-5) = (-5)

What is the Base and the Exponent? 4 (r)(r)(r)(r)= r

What is the Base and the Exponent? (-7) 5 (-7)(-7)(-7)(-7)(-7) =

How to Multiply Out an Exponent to Find the Standard Form 4 3 = 3 x 3 x 3 x 3 9 27 81

What is the Standard Form? 3 (-2)=(-2)(-2)(-2) = -8

What is the Standard Form? 2 9 (-3) = (-3)(-3) =

What is the Standard Form? 3 -5 = -(5)(5)(5) -125 =

What is the Standard Form? 4 -2 = -(2)(2)(2)(2) = -16

Exploration Does -42 = 42 = (-4)2 = - (42)? Show and explain how you know. (HINT: Evaluate each expression. Indicate which ones are equivalent and which ones are not equivalent. Explain how you know this.)

Answer Does -42 = 42 = (-4)2 = - (42)? We should expand each problem and find the standard form so we can compare. −4 2 =− 4∙4 =−16 because the negative does not belong to the base 4 2 = 4∙4 =16 (−4) 2 = −4)(−4 =16 because the negative belong to the base −(4 2 )=− 4∙4 =−16 because the negative is outside of the parenthesis. Conclusion: −4 2 and −(4 2 ) because they have the answer of -16. 4 2 and (−4) 2 because they have the answer of 16.