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# Laws Of Exponents

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### Transcript

• 1. Laws of Exponents
• 2. Lesson 1: Laws of Exponents Vocabulary exponent 7 2 base power
• 3. Lesson 1: Laws of Exponents Power Exponent Base
• 4. Lesson 1: Laws of Exponents Law 1: Product Law aman = am+n When multiplying two powers with the same base, just add the exponents.
• 5. Lesson 1: Laws of Exponents Law 2: Quotient Law m a n = am-n a When dividing two powers with the same base, just subtract the exponents.
• 6. Lesson 1: Laws of Exponents Law 2: Power Law (am)n = amn To simplify any power of power, simply multiply the exponents.
• 7. Lesson 1: Laws of Exponents Powers with different bases anbn = (ab)n
• 8. Lesson 1: Laws of Exponents Powers with different bases n n an =  a      b b  Dividing different bases can’t be simplified unless the exponents are equal.
• 9. Lesson 1: Laws of Exponents Zero exponents a =1 0 A nonzero base raised to a zero exponent Is equal to one.
• 10. Lesson 1: Laws of Exponents Negative exponents  1 a-n =    n a  A nonzero base raised to a negative exponent is equal to the reciprocal of the base raised to the positive exponent.
• 11. Lesson 1: Laws of Exponents Simplifying Powers A power is in its simplest form when the laws and definitions of exponents cannot be applied further to simplify it. Example: 4-3 not in simplest form 1 simplest form 64
• 12. Lesson 1: Laws of Exponents Simplifying an Exponential Expression Exponential expressions are algebraic expressions which contain exponents. An algebraic expression is in simplest form when it is written with only positive exponents. If The expression is a fraction in simplest form, the only common factor of the numerator and denominator is 1.
• 13. Lesson 1: Laws of Exponents Evaluating an Exponential Expression To evaluate means to substitute the given value/s to the variable/s of the expression and simplifying the expression.