Rules of Exponents (Simplifying Expressions with Exponents)
This video discusses the rules of exponents and the basic properties of exponents including the product rule, power rule, quotient rule, zero power rule, the rule of negative exponents, and the rule of fractional exponents. This video explains how to simplify exponential expressions and explains when to add, subtract, or multiply two exponents together. This video contains examples and practice problems that use the laws of exponents.
Product rule: When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.
Quotient rule: When dividing two bases of the same value, keep the base the same, and then subtract the exponent values.
Power of a power rule: When a power is being raised by another power multiply the exponents together and keep the base the same.
Power of a product rule: When any base is being multiplied by an exponent, distribute the exponent to each part of the base.
Zero power rule: Any base raised to the power of zero is equal to one.
Negative exponent rule: When a number being is raised by a negative exponent, take the reciprocal to turn the exponent into a positive
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