This video demonstrates the quotient rule as applied to exponential expressions that appear in the form of, to use the word loosely, a fraction. The name, "quotient rule", refers to the fact that it applies to expressions which are divided by other expressions. The video begins by explaining that the quotient rule allows expressions in this form to be simplified if they contain like bases (i.e., the terms are of the same variable). The quotient rule allows the expression to be simplified by simply subtracting the exponential powers of each term in the division. The video goes on to demonstrate the truth of the quotient rule by expanding the exponents of both the dividend term and the divisor term; this yields a more intuitive approach to the mathematical workings of the quotient rule. The first example involves exponents of the variable, "X", and it is solved with the quotient rule. Next, a different case is presented in which the bases of the terms are the number "5" as opposed to a variable; none the less, the quotient rule applies in the same way. Finally, a third case is demonstrated in which one of the terms in the expression contains a negative exponent.
 Hot
 Latest

How To: Remember "greater than" & "less than" symbols

How To: Find the Percent Given Two Numbers

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find a number given Its percent

How To: Evaluate fractions containing variables

How To: Find a central angle

How To: Find a missing side of a triangle, similar to another

How To: Divide small numbers by big numbers

How To: Do normal probability calculations on a calculator

How To: Learn Calculus in 20 minutes

How To: Identify characteristics of a sample during a survey

How To: Factor a trinomial with negative leading coefficient

How To: Normalize a data set into another scale

How To: Find the domain and range of a function

How To: Round a decimal number to the nearest tenth in basic arithmetic

How To: Calculate Faster Than a Calculator

How To: Do long division without a calculator

How To: Convert between diameter and radius

How To: Find the formula of a piecewise function given a graph

How To: Solve percentages without a calculator

How To: Remember "greater than" & "less than" symbols

How To: Find the Percent Given Two Numbers

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find a number given Its percent

How To: Evaluate fractions containing variables

How To: Find a central angle

How To: Find a missing side of a triangle, similar to another

How To: Divide small numbers by big numbers

How To: Do normal probability calculations on a calculator

How To: Learn Calculus in 20 minutes

How To: Identify characteristics of a sample during a survey

How To: Factor a trinomial with negative leading coefficient

How To: Normalize a data set into another scale

How To: Find the domain and range of a function

How To: Round a decimal number to the nearest tenth in basic arithmetic

How To: Calculate Faster Than a Calculator

How To: Do long division without a calculator

How To: Convert between diameter and radius

How To: Find the formula of a piecewise function given a graph

How To: Solve percentages without a calculator
Be the First to Comment
Share Your Thoughts