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 =

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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

Introduction to Exponents Algebra I Seminar Introduction to Exponents

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.

What is the Base and Exponent?

Terms Coefficient: A number or symbol multiplied with a variable or an unknown quantity. 4x 28y 3(x+1)

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

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

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 = 35 + 8 = 313 bm • bn = bm + n

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

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