Lesson #3- Exponent Laws
Power 27 Base 2 is the Base and 7 is the exponent at this point show on the calculator what to do.
27 Table 1- Folding Paper Experiment # of sections= 2# of folds 1 2 21 Expanded Multiple Single Exponent 1 2 21 4 2x2 22 3 8 2x2x2 23 16 2x2x2x2 24 5 32 2x2x2x2x2 25 6 64 2x2x2x2x2x2 26 7 128 2x2x2x2x2x2x2 27 256 2x2x2x2x2x2x2x2 28 # of Folds Sections Expanded Multiple Single Exponent 1 2 21 4 2x2 3 5 6 7 8 27 2 is the Base and 7 is the exponent at this point show on the calculator what to do. What is the relationship between the # of sections and the # of folds? # of sections= 2# of folds
Mythbusters- Paper Folding http://www.youtube.com/watch?v=kRAEBbotuIE
Table 2- Multiplying Exponents of the Same Base Question Expanded Multiple Single Exponent 31 x 32 3x3x3 33 33 x 34 52 x 54 - Question Expanded Multiple Single Exponent 31 x 32 3x3x3 33 33 x 34 3x3x3x3x3x3x3 37 52 x 54 5x5x5x5x5x5 56 am x an - am+n Get students to answer up at the board on this one When you MULTIPLY exponents of the same base... Keep the base and ADD the exponents.
eg. 1 Simplify these exponents Get students to answer up at the board on this one
Table 3- Dividing Exponents of the Same Base Question Expanded Quotient Single Power 34 32 32 25 22 23 43 42 41 am an am-n Question Expanded Quotient Single Power 34 32 25 22 43 42 am an Get students to answer up at the board on this one When you DIVIDE exponents of the same base... Keep the base and SUBTRACT the exponents.
eg. 2 Simplify these exponents Get students to answer up at the board on this one
eg. 3 Simplify these exponents Get students to answer up at the board on this one
Homework pg. 30 #1-3 pg. 32 #4-6