6.1 Laws of Exponents

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6.1 Laws of Exponents
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• The nth power of b, written , where n is
  a positive integer is
• for n factors
• b is called the .
•  
• n is called the .

base
exponent
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Rules for Exponents
1. Product of two powers with equal bases
2. Quotient of two powers with equal bases
3. Power of a power
4. Power of a product
5. Power of a quotient
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Use properties or exponents to simplify.

• 1. 2.

5
Use properties or exponents to simplify.

• 3. 4.

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More Rules for Exponents
6. Negative exponents
7. Zero exponent
8. Fractions raised to a negative exponent
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• We use these properties because when simplifying
  exponential expressions, it is best to keep all
  exponents
• .
• 5. Use your answer from 4, to simplify further
  and make all exponents positive.
• When simplifying exponential expressions, use
  properties of exponents (1-5) to simplify first,
  then at the end make sure you have all positive
  exponents.

positive
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Use properties of exponents to simplify. Use only
positive exponents.

• 6. 7.

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Use properties of exponents to simplify. Use only
positive exponents.

• 8. 9.