Lesson1_ExponentLaws.notebook
February 13, 2017
Lesson1_ExponentLaws.notebook
February 13, 2017
Today's Learning Goal:
• I can use exponent laws to solve problems
Lesson1_ExponentLaws.notebook
Exponent Laws
1. Zero Exponents
• Anything to the power of zero is 1
2. Multiplication Law
• Add exponents with the same base
3. Division Law
• Subtract exponents with the same base
4. Power Law
• When taking the power of a power you multiply the exponents
February 13, 2017
Lesson1_ExponentLaws.notebook
February 13, 2017
Ex. 1: Express as a single power.
a) 5 0 = ____
b) (2/3)
c) 24 x 26 = _____
d) m3 x m3 = ______
3
2
7
0
= _____
3
e) 2 ÷ 2 = _____
f) m ÷m = _______
g) (6 2 ) 4 = _____
h) (a 3 ) ­2 = ______
Lesson1_ExponentLaws.notebook
February 13, 2017
5. Negative Exponents
• Any power with a negative exponent can be expressed as a positive exponent • Flip the fraction and exponents change signs
34
33
32
31
30
3­1
3­2
Ex. 1: Express as a positive exponent
a)
b)
c)
d)
e) Lesson1_ExponentLaws.notebook
February 13, 2017
Radical Dude
1. Square Roots:
a) b)
2. Other Roots:
a)
b)
c)
Problem...
a)
b)
Lesson1_ExponentLaws.notebook
February 13, 2017
6. Powers with Rational Exponents
• When the numerator is 1, rational exponents are equivalent to roots (these are called unit rational exponents, because the numerator is 1)
a)
b)
c)
• When the numerator is not 1, your root becomes a power of that number
a)
b)
c)
Lesson1_ExponentLaws.notebook
February 13, 2017
Lesson1_ExponentLaws.notebook
February 13, 2017
Lesson1_ExponentLaws.notebook
February 13, 2017