1. Warm Up 3 x 3 x 3 x 3 x 3 x 3 = 4 x 4 x 4 x 4 = -1 x -1 x -1 x -1 =
729
256 1
59049

2. Introduction to Exponents
Algebra I Seminar
Introduction to Exponents

3. Terms Base: The number that is raised to various powers
Exponent: A number or symbol, as 3 in 23, placed to the right of and above another number, symbol, or expression, denoting the power to which that number, symbol, or expression is to be raised. Also called power or degree.

4. What is the Base and Exponent?

5. Terms
Coefficient: A number or symbol multiplied with a variable or an unknown quantity.
4x y
3(x+1)

6. Simplify Each Expression
= 5∙5
=25
=2∙2∙2
=16
for b=6
=6∙6
= 36
for n=3 and r =2
=3∙3∙2
=9∙2
=18

7. Multiplying with the Same Base
Multiply. Write the product as one power.
A. 66 • 63
C. 25 • 2
D. 244 • 244
B. n5 • n7

8. MULTIPLYING POWERS WITH THE SAME BASE
Words
Numbers
Algebra
MULTIPLYING POWERS WITH THE SAME BASE
To multiply powers with the same base, keep the base and ADD the exponents.
35 • 38 = = 313
bm • bn = bm + n

9. When the bases are different, we can NOT combine them.
Multiplying With Different Base
When the bases are different, we can NOT combine them.
A. x5 • y2
None of these examples can be simplified any further, so they need to stay the way they are.
B. 412 • 427
C. b6 • h4
D. -45 • -93

10. Let’s try Some…