3.1.1 & 3.1.2 –> EXPONENT REVIEW WALT: use the properties of exponents to simplify expressions. Product Property of Exponents: am • an = a m + n • add If you are multiplying powers with the same base, the base number stays the same and you ________ the exponents. Power of a Power Property of Exponents: (am)n = am • n • Quotient Property of Exponents: • multi If you have a power raised to another power, then you _____________ the powers. !! !" = a"#$ divide If you are dividing powers with the same base, the base number stays the same and you ___________ the exponents. Zero Property of Exponents: a0 = 1 • Anything raised to a power of zero is On _________. f Negative Property of Exponents: a-1 = • % & Reciprocal A negative exponent means the _____________________ (flipped fraction). EXAMPLES: Simplify each expression, no negative exponents. 1. y4 • y2 • y 2. (y0)3 yyyy.gg y Y 3. (y5)3 4. eggs 5. x #( ⋅ x ( x '# '$ At 6. – 3n3 • 2n4 Gn 7. 45 x 9 y 5 5x7 days 8. )*% +& ,*' - k 2 9. (&. )#/ 10. ((&0 ). Sx is 1& 2 11. ) '* + 8 49 12. +&#3 ∙ -&2 4 Ex 910