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Learn the rules of exponents for adding, multiplying, and dividing variables. Practice examples with step-by-step explanations.
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Lesson 10.3 Division Exponent Rules When you are adding variables: only the coefficient (the number in front) changes. When you are multiplying variables: the coefficients and the exponent changes. Let’s Review
1st Rule of Exponents 1st Rule of Exponents: When ever the bases are multiplied together, you must ADDthe exponents. Product of a Power Example: = =
2nd Rule of Exponents 2nd Rule of Exponents: When you have an exponent raised to another exponent, you must multiply the exponents. Power to a Power! Example: =
3rd Rule of Exponents 3rd Rule of Exponents: When you have a product raised to a power, all parts are raised to the power. Example: =
When dividing terms with exponents: Quotient of Powers Rule #4 If the bases are the same, when you divide terms you subtract the exponents. Example #1
Summary… Product of same bases you……. • Power raised to a power you…… • Quotient of powers you……