Note that Compositions of Exponential and Logarithmic Functions can be found here. Adding, Subtracting, Multiplying, and Dividing Functions Functions, like numbers, can actually be added, subtracted, multiplied and even divided. These operations are pretty obvious, but I will give examples anyway. So we have two functions here:
WonderHowTo This video explains the process of simplifying an algebraic expression with negative exponents. The video starts with an example of such an algebraic expression; the expression contains negative powers in both the numerator and denominator.
The location of the negative exponents is first pointed out visually.
Next, it is observed that there are like based or variables in both the numerator and denominator; however, it is explained that the numerator must first be expanded before the expression can be further simplified. This is because the variables in the numerator lie inside of parentheses and are collectively raised to a negative power.
The negative power on the outside of the numerator is distributed two both variables contained within the parentheses. After this is completed, the expression is capable of being simplified, or reduced, and the quotient rule is applied to simplify.
The resulting expression contains negative exponents and the expression is further simplified to contain only positive powers; this results in the final answer.Real World Mathematics - One of the challenges facing mathematics teachers is convincing their students that there is a place for mathematics in the real world.
The goal of this page is to collect examples of those applications. This is a SCORE (Schools of California - Online Resources for Educators) page. The Hundred Greatest Mathematicians of the Past. This is the long page, with list and biographies. (Click here for just the List, with links to the webkandii.com Click here for a .
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Resources for students to enhance their skills in English, Mathematics, Reading, Science, and Writing based on their ACT test score. Edit Article How to Calculate a Square Root by Hand.
In this Article: Article Summary Using Prime Factorization Finding Square Roots Manually Community Q&A In the days before calculators, students and professors alike had to calculate square roots by hand. Demonstrates how to simplify fractions containing negative exponents.
Provides worked examples, showing how the same exercise can be correctly worked in more than one way. Warns against confusing "minus" signs on numbers and "minus" signs in exponents.