Lesson Summary. When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.
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The Quotient of Powers Rule assists with simplifying exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power.
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Instructor: Jennifer Beddoe. The quotient of powers rule states that when dividing two powers with the same base, just subtract the exponents. Don't worry if that doesn't make sense off the bat; this lesson will clear everything up, give some examples, and provide a quiz for you to test your knowledge.
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Quotient. In mathematics, a quotient is the result of division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor. The quotient further is expressed as the number of times the divisor divides into the dividend, e.g. 3 divides 2 times into 6. A quotient can also mean just the integer part of the result of dividing two integers. For example, the quotient of 13 and 5 would be 2 while the remainder would be 3.
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Examples. You can use the Quotient of Powers Rule for simple or complex division problems. Let's do a few practice ones together. If you need more time to work them out, try pausing the video before you see the answers. First, let's simplify f ^7 / f ^2.
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quotient. n. 1. (Mathematics). a. the result of the division of one number or quantity by another.
http://www.thefreedictionary.com/quotient
Definition of Quotient Rule. The quotient rule is one of several rules used to find the derivative of a function. Specifically, the quotient rule finds the derivative of the quotient of two functions, provided that the derivatives of both those functions exist. If a function f (x) can be written as, and, then v. The quotient rule can be extended to find the second derivative as well, by replacing the original functions g (x) and h (x) with the numerator and denominator of the first derivative, respectively. The quotient rule is derived from the application of the product rule and chain rule.
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Wiktionary (0.00 / 0 votes) Rate this definition: quotient (Noun). The number resulting from the division of one number by another. The quotient of 12 divided by 4 is 3.
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Or, I continued, the size of the Nautilus being 1,500 tons; and one ton holding 200 gallons, it contains 300,000 gallons of air, which, divided by 480, gives a quotient of 625. 20,000 Leagues Under The Sea by Verne, Jules View in context.
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The number that results when one number is divided by another. If 6 is divided by 3, the quotient can be represented as 2, or as 6 ÷ 3, or as the fraction 6 / 3.
http://www.thefreedictionary.com/quotient
definition of quotient in math
A quotient in mathematics is the result of the division of one number or quantity by another. The definition of quotient in math is the result of the division of one number or quantity by another.