 # ExponentsExponents Objective #1: Students will write numbers in exponential form Objective #2: Students will multiply and divide numbers in exponential.

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ExponentsExponents Objective #1: Students will write numbers in exponential form Objective #2: Students will multiply and divide numbers in exponential form

Parts of a Power 6363 Base: the big number; the number being multiplied Exponent: the little number; tells how many times to multiply the base Power: the base and exponent together

The Laws of Exponents Law #1: Any base raised to the exponent of 1 is equal to the base. EX: 2 1 = 2 Law #2: Any base raised to the exponent of 0 is equal to 1..EX: 10 0 = 1

The Laws of Exponents Law #3: A negative base raised to an even exponent is ALWAYS positive. EX: (-5) 2 = 25 Law #4: A negative base raised to an odd exponent is ALWAYS negative..EX: (-5) 3 = -125

The Laws of Exponents Law #5: If a fraction is raised to a power then distribute the exponent to both the top and the bottom. EX: Law #6: A base raised to a negative exponent is equal to a fraction. EX: (5) -3 = 1 = 1 (5) 3 125

Practice Problems Simplify: 1. 2. 3. 4. 5. 6. 25 36 1 -8 1

Multiplication of Powers **You can only multiply powers that have the same base. (EX: 2 3 and 2 5 ) **To multiply powers of the same base, add their exponents. EX: 2 3 2 5 = 2 3+5 = 2 8 **If a power is raised to another power, multiply the exponents together. EX: (2 3 ) 5 = 2 35 = 2 15

Division of Powers **You can only divide powers that have the same base. (EX: ) **To divide powers of the same base, subtract their exponents. EX:

Practice Problems Simplify: 7. 8. 9. 10. 11. 12. 64 81 1400 81b 2 16a 12

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