Powers and Exponents Lesson 14

1. List the following integers from least to greatest: −5, −11, 4, 8, −1, 0 2. Determine the SIGN of each answer. a. −209 + (− 184) b. −88(45) c. −244 ÷ −8 d − (−6310)

Target: Write and compute expressions with powers.

 Power: Used to express a product of a repeated factor. Powers consist of two parts, the base and the exponent.  Base: The repeated factor.  Exponent: Number of times the factor is repeated.  Squared: A number to the second power.  Cubed: A number to the third power.

Base ExponentRepeated Factor Power Expanded Form

 If the base of a power is positive, the value of the power will always be positive.  If the base of a power is negative, the value of the power will be: positive if the exponent is an even number. negative if the exponent is an odd number.

Write each expression as a power. (5)(5)(5)(5) 5454 (−11)(−11)  (−11) 2 7 ∙ 7 ∙ 7 ∙ 7 ∙ 7 ∙ 7 7676

Write each power in expanded form and find its value  8·8 = 64 (−1) 5  The exponent is odd so the answer will be negative.  (−1)(−1)(−1)(−1)(−1) = −1

Write each power in expanded form and find its value. −4 4  Read: “The opposite of four to the fourth power”  −(4)(4)(4)(4) = −256

Write each expression as a power. 1. 2∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 2. (−1)(−1)(−1) Write each power in expanded form and find the value (−5) 2 5. (−3) 3

How can you tell the sign of the value of a power without doing any computations?