Aim How do we use the laws of exponents to multiply monomials?
Warm up
Use an exponent to rewrite each expression below.
1. 10 · 10 · 10 2. -3 · -3 · -3 · -3
3. n · n · n · n · n · n 4. y · y · y · y · y · y · y · y · y
Whole Group Questions
Write each expression below in expanded form to simplify.
1. n2 · n4 2. x2y2 · x3y
Law of Exponents for Multiplication
Use the Law of Exponents to simplify the following expressions.
3. a3 · a5 4. x3 · x-7
5. a4b2 · a5b 6. x-2y2 · x5y-3
Group Work
Use the Law of Exponents to simplify the following expressions.
1. a3 · a4 2. x10 · x5
3. y3 · y 4. n2 · n3 · n4
5. b4 · b-6 6. a-2 · a10 · a-3
7. 6a2b4 · 4a2b3 8. xy · y2 · x3
Whole Group Questions
Use the Law of Exponents to simplify and then evaluate the following expressions.
1. 102 · 103 2. 3-4 · 32
3. (-2)2 · (-2)3 · (-2)-1 4. (-2) -3 · (-2)3 · (-2)-3
5. A negative base with an odd exponent equals a ______number.
6. A negative base with an even exponent equals a ______number.
Group Work
Use the Law of Exponents to simplify and then evaluate the following expressions.
1. 52 · 5-3 2. 4-4 · 47
3. 23 · 24 · 2-1 4. (-3)-1 · (-3)8 · (-3)-3
5. (-1)2 · (-1)2 · (-1)-10 6. ()-2 · ()2 · ()4
Homework
Use the Law of Exponents to simplify the following expressions.
1. x4 · x5 2. y3 · y-1
3. c2 · c-7 4. xy · x2y-2
Use the Law of Exponents to simplify and then evaluate the following expressions.
5. 10-2 · 10-1 6. 10-2 · 102
7. (-2)3 · (-2)4 · (-2)-11 8. (-2)-1 · (-2)-1 · (-2)5
Name ______Date ______Period______
Aim: How do we use the law of exponents to multiply monomials?
Ticket:
Use the Law of Exponents to simplify the following expressions.
1. a2 · a4 2. x15 · x5