Lesson 1.5Integer Exponents

Pages 10-11

Vocabulary

• Exponential Form- Example: Writing 2 X 2 X 2 as 2³

• Base- The repeated factor; in this case, 2• Exponent/Power- How many times the base is

used; in this case, 3• Squared- Using 2 as an exponent• Cubed- Using 3 as an exponent

Zero Exponents

• For any nonzero number a, a^0 = 1

• Example: 5^0 = 1

• Simply put, a zero exponent means the expression has a value of 1.

Law of Exponents for Division

• For any real number a (a ≠ 0), and integers m and n,

a^m ÷ a^n = (a^m) / (a^n) = a^(m-n)• Ex: 5^7 ÷ 5³ = (5^7) / (5^3) = 5^(7-3) = 5^4

*You may leave your answer in exponential form.*

Law of Exponents for Multiplication

• For any real number a (a ≠ 0), and integers m and n,

a^m x a^n = a^(m+n)Ex: (5)²(5)³ = 5^(2+3) = 5^5.

Again, you may leave your answer in this form.

Negative Exponents

• For any nonzero number a and any integer n, a^(-n) = 1/(a^n)

• Ex: 3^(-4) = 1/(3^4)

Practice

• 5^1 x 5^(-4) x 5^3 • = 5^(1 + -4 + 3) • = 5^0 • = 1

*Remember, any number to the zero power equals 1*

Upcoming Slides…

Since it is near impossible to display some of the symbols using a keyboard, the following two slides demonstrate some of the work we did in class.

I apologize in advance for the handwriting.

Homework

• Workbook pgs. 9-10 (Even numbers)–#46 = Bonus