1. 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.

2. 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. 3 ways to write exponents 5x5x5x5x5x5x5x5x5 1,953,125 65 7,776 105 10x10x10x10x10

4. 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

5. Multiplying Exponents • When they have the same base, keep the base number and add the exponents • 2 · 22 · 24 • 5· 53 • 146 · 148

6. Dividing Exponents • When dividing exponents with the same base, keep the base and subtract the exponents. • 109 ÷ 105 • 138 ÷ 132 • _56_ 52