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Learn how to simplify expressions involving quotients with exponents using key properties and rules. Gain proficiency in dividing powers with the same base and explore distributive properties. Enhance your understanding of divisibility by practicing examples.
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Section 8.2 Exponent Properties involving Quotients Quotient of Powers Property: To divide powers having the same base, ____________ the exponents. The rule says to subtract the greater exponent by the smaller exponent and the base always goes where the larger exponent is, but there is another way: or Basically, its easier to just _____________________ and notice where the _______ would be. subtract m - n x3 1 1 x2 subtract exponents base
Power of a Quotient Property: Distribute the __________ on the outside to all the exponents on the _______________ for each factor. , as long as exponent inside am bm Examples: Simplify the following expressions using the properties involving quotients. 1. 2. 3.
4. 5. 6. 7. 8. 9.
10. 11. 12. Both are divisible by 15