One thing we will be looking at in this section is using your exponent and e keys on your calculator. So make sure that you have your calculator ready to go. It will also help you with the graphing problems. Let's say we take a look at these exponential functions.
Tutorial Definition of Exponential Function The function f defined by. Also note that in this definition, the base b is restricted to being a positive number other than 1. The two main exponent keys found on calculators are you will only have one of these :. If you have the caret top key let's practice taking 15 and raising it to the 5th power. If you got , you entered it in correctly. If not, try again. If you still can't get it look in your reference manual that came with the calculator.
The key that look like OR are most common in business and scientific calculators, but can be found on other types of calculators. On most business and scientific calculators, the exponent key looks like or or very similar to this. If you have this key let's practice taking 15 and raising it to the 5th power. In this situation, you first type in your base then you activate your exponent key and then you type in your exponent and then press enter or equal.
Go ahead and try it out by finding 15 raised to the 5th power. Type in 15, then press or and then type in 5 and press the enter or equal key. You should have gotten as your answer. This base is used in economic analysis and problems involving natural growth and decay. At this point, we are just going to learn how to find the value of e raised to an exponent using the calculator.
The two main e keys found on calculators are you will only have one of these :. If you have the e key with no exponent showing and the caret top key let's practice taking e and raising it to the 5th power. If you got The key that looks like is most common in business and scientific calculators, but can be found on other types of calculators. On most business and scientific calculators, the e function key looks like or very similar to this.
So check for this key - note that the difference between this and the one above is that this key has a variable exponent showing on the key - the above key only has an e no exponent. If you have this key let's practice taking e and raising it to the 5th power.
In this situation, you first type in your exponent and then you activate your key. Go ahead and try it out by finding e raised to the 5th power. Type in 5 and then press. You should have gotten Graphing calculators: Most graphing calculators allow you to put in the whole formula before you press enter. In fact you are able to see it all. If you are going to plug in the whole formula at one time, just make sure you are careful. Pay special attention to putting in the parenthesis in the right place.
Business and scientific calculators: On most business and scientific calculators you will have to put the formula in part by part. Work your way inside out of the parenthesis. DO NOT round until you are at the end. As you go step by step, don't erase what you have on your calculator screen, but use it in the next step, so you will have have the full decimal number. The examples are set up to show you how to piece it together - it goes step by step.
You will note on a lot of the examples that I put dots after my numbers that would keep going on an on if I had more space on my calculator. Keep in mind that your calculator may have fewer or more spaces than my calculator does - so your calculator may have a slightly different answer than mine due to rounding.
It should be very close though. Make sure that you go through these examples with your calculator to check to make sure you are entering in everything ok. Before you start making a list of calculations, however, you should do a simple test to make sure your calculator isn't one of those that requires you to input the exponent first.
Enter the number 2, press the exponent key, then enter 3. The display should read 8. If it reads 9, that's because the calculator interpreted the input as 3 2 instead of 2 3. That means you need to enter the exponent before the base.
Some calculators have a key marked y x. Some numbers, such as billion, have too many digits to display on a calculator. When this happens, the calculator displays the number in scientific notation, using the letter E to denote 10 to the power of whatever number comes after it. For example, billion appears on a scientific calculator as 2. You can add, subtract, multiply and divide large numbers just as you would small ones, and the results will continue to appear in scientific notation a long as they continue to have too many digits to display.
Chris Deziel holds a Bachelor's degree in physics and a Master's degree in Humanities, He has taught science, math and English at the university level, both in his native Canada and in Japan. He began writing online in , offering information in scientific, cultural and practical topics. His writing covers science, math and home improvement and design, as well as religion and the oriental healing arts. Exponentiation is a mathematical operation, written as a n , involving the base a and an exponent n.
In the case where n is a positive integer, exponentiation corresponds to repeated multiplication of the base, n times. The calculator above accepts negative bases, but does not compute imaginary numbers.
It also does not accept fractions, but can be used to compute fractional exponents, as long as the exponents are input in their decimal form. When an exponent is negative, the negative sign is removed by reciprocating the base and raising it to the positive exponent.
Similarly, when divided bases are raised to an exponent, the exponent is distributed to both bases. When an exponent is 0, the result of the exponentiation of any base will always be 1, although some debate surrounds 0 0 being 1 or undefined.
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