Rational Numbers & Equations
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Transcript of Rational Numbers & Equations
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. 2065 − (−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.
)3)(3)(3)(3(34 Base
Exponent Repeated 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
(−11)(−11)
(−11)2
7 ∙ 7 ∙ 7 ∙ 7 ∙ 7 ∙ 7
76
Write each power in expanded form and find its value.
82
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.
−44
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.
3. 23
4. (−5)2
5. (−3)3
How can you tell the sign of the value of a power without doing any computations?