Powers and Laws of Exponents SWBAT write the standard form for numbers that are given in exponential form; write the exponential form for numbers that are given in standard form; apply the multiplication and division laws of exponents; identify the value of a number to the zero power; simplify expressions with exponents.
Definitions Exponent – tells you how many times a number is used as a factor (how many times you multiply it) Base – The factor (number) being multiplied
3 ways to write exponents Exponential Form Factored Form Standard Form x 10 x 10 1,000 1, x 6 x 6 x 6 x 6 100,000 5x5x5x5x5x5x5x5x51,953, , x10x10x10x10
Write each in simplest exponential form 6 · 6 · 6 · 7 · 7 -1(-1)(-2)(-3)(-3) 2 · 2 · 2 · 2 · 2 · 2 · 2 10 · 10 · 10 · 10 · 10 · 10 · 10 · 10
Multiplying Exponents When they have the same base, keep the base number and add the exponents 2 · 2 2 · 2 4 5 · 5 3 14 6 · 14 8
Dividing Exponents When dividing exponents with the same base, keep the base and subtract the exponents. 10 9 ÷ 10 5 13 8 ÷ 13 2 _56__56__56__56_