Dynamic Activity

Order of Operations

Lesson Vocabulary

• power
• exponent
• base
• simplify
• evaluate

Problem 1 Simplifying Powers

What is the simplified form of the expression?

1. 10 7 10 to the seventh

   10 7 = 10 · 10 · 10 · 10 · 10 · 10 · 10   = 10 , 000 , 000 table with 2 rows and 2 columns , row1 column 1 , 10 to the seventh , column 2 equals 10 middle dot 10 middle dot 10 middle dot 10 middle dot 10 middle dot 10 middle dot 10 , row2 column 1 , , column 2 equals 10 comma 000 comma 000 , end table

2. ( 0.2 ) 5 open 0.2 close to the fifth

   ( 0.2 ) 5 = 0.2 · 0.2 · 0.2 · 0.2 · 0.2   = 0.00032 table with 2 rows and 2 columns , row1 column 1 , open 0.2 close to the fifth , column 2 equals 0.2 middle dot 0.2 middle dot 0.2 middle dot 0.2 middle dot 0.2 , row2 column 1 , , column 2 equals , 0.00032 , end table

✓ Got It?

1. What is the simplified form of each expression?
   1. 3 4 3 to the fourth
   2. ( 2 3 ) 3 open , 2 thirds , close cubed
   3. ( 0.5 ) 3 open 0.5 close cubed