Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Zero and Negative Exponents – Guided Notes – Section 5.10 ZERO EXPONENTS If 𝑎 ≠ 0, then 𝑎! = __________. Why does this make sense? Expand the expression to show the rule. !!
!!
!!
= _____________________ OR ! ! =
Example 1: Simplify each expression. Show your work. a. 𝑚 ! 𝑛! = b. 234! = c.
(!")!
!! !
= NEGATIVE EXPONENTS If 𝑎 ≠ 0, then 𝑎!! = __________. Why does this make sense? Expand the expression to show the rule. !!
!!
!!
= _____________________ OR !! =
Example 2: Write each expression with only positive exponents. a. 5!! = b.
!!
!!
= c.
!!!
!! !
= Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Example 3: Apply the basic rules of exponents to find the value of each variable. Show your work. a) 2! ∙ 2!! = 2! b)
!!
!!
= 2! Practice 1. Apply the basic rules of exponents to find the value of each variable. Show your work. c) 2! ∙ 2!! = 2! d)
e)
!!
!!
!!
!!!
2!
f)
= 2! = 2! !!
= 2 ! Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
2. Decide which expression equals 4!! . Do not use a calculator. Explain each result. Explain or show work. Equal to 𝟒!𝟖 ? YES/NO 4!! ! 4!! ∗ 4!! Original Expression 4!!
4!
!!
!!
4!
4!"
1 !
4
1
4!!
1
4!
. !!