Well, it makes it much easier for us to write multiplications and conduct mathematical operations with both large and small numbers when you are working with numbers with a lot of trailing zeroes or a lot of decimal places. Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. Retrieved from Exponentiation Calculator. 4 to the Power of -8. Enter your number and power below and click calculate. Calculate Exponentiation. So basically, you'll either see the exponent using superscript (to make it smaller and slightly above the base number) or you'll use the caret symbol (^) to signify the exponent. Which of the following sets of measurements cannot represent the three side lengths of a tr. Welcome to 4 to the negative 8th power, our post about the mathematical operation exponentiation of 4 to the power of -8. Next is the summary of negative 8 power of 4. Four to the negative eighth power is the same as 4 to the power minus 8 or 4 to the minus 8 power. If you have been looking for 4 power -8, what is 4 to the negative 8 power, 4 exponent minus 8 or 8 negative power of 4, then it's safe to assume that you have found your answer as well. You have reached the final part of four to the negative eighth power.
Let's get our terms nailed down first and then we can see how to work out what 4 to the 8th power is. When we talk about exponentiation all we really mean is that we are multiplying a number which we call the base (in this case 4) by itself a certain number of times. What is the length of the hypotenuse?
To solve this, you would multiply 3 by itself, 4 times: 3 × 3 × 3 × 3 = 81. As the exponent is a negative integer, exponentiation means the reciprocal of a repeated multiplication: The absolute value of the exponent of the number -8, 8, denotes how many times to multiply the base (4), and the power's minus sign stands for reciprocal. Why do we use exponentiations like 48 anyway? Four to the Negative Eighth Power. Let's look at that a little more visually: 4 to the 8th Power = 4 x... x 4 (8 times). Now that we've explained the theory behind this, let's crunch the numbers and figure out what 4 to the 8th power is: 4 to the power of 8 = 48 = 65, 536. I don't really get what or how to solve this question. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1, 000, 000.
Learn more about this topic: fromChapter 19 / Lesson 8. Random List of Exponentiation Examples. Want to find the answer to another problem? Understand various scenarios when multiplying exponents. As the exponent is a positive integer, exponentiation means a repeated multiplication: The exponent of the number 4, 8, also called index or power, denotes how many times to multiply the base (4). In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 4 to the power of 8". Learn how to multiply numbers with exponents. What is 4 to the 8th Power?. Thanks for visiting 4 to the negative 8th power. You have reached the concluding section of four to the eighth power = 48.
In math, an exponent is a power that a specific number is raised to. Similar exponentiations on our site in this category include, but are not limited, to: Ahead is more info related to 4 to the negative 8 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 4 to the power negative 8. Keep reading to learn everything about four to the negative eighth power. Next is the summary of our content. For example, 3 to the 4th power is written as 34. The exponent is the number of times to multiply 4 by itself, which in this case is 8 times. There are a number of ways this can be expressed and the most common ways you'll see 4 to the 8th shown are: - 48. The number 4 is called the base, and the number minus 8 is called the exponent. If you have been looking for 4 to the negative eighth power, or if you have been wondering about 4 exponent minus 8, then you also have come to the right place.
Thus, we can answer what is 4 to the negative 8th power as. Hopefully this article has helped you to understand how and why we use exponentiation and given you the answer you were originally looking for. If you made it this far you must REALLY like exponentiation! Cite, Link, or Reference This Page.
What is an Exponentiation? If you have come here in search of an exponentiation different to 4 to the negative eighth power, or if you like to experiment with bases and indices, then use our calculator above. Feel free to share this article with a friend if you think it will help them, or continue on down to find some more examples. In this post we are going to answer the question what is 4 to the negative 8th power. 35 m. C. 30 m. D. 25 m. What is 1+1. In summary, If you like to learn more about exponentiation, the mathematical operation conducted in 4-8, then check out the articles which you can locate in the header menu of our site. 88 is also written as 8 × 8... See full answer below. Let's break this down into steps.
4 to the negative 8th power is conventionally written as 4-8, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 4^-8. So we mentioned that exponentation means multiplying the base number by itself for the exponent number of times. When n is equal to 0, the power of 10 is 1; that is, 100 = 1. The caret is useful in situations where you might not want or need to use superscript.
So What is the Answer? Make sure to understand that exponentiation is not commutative, which means that 4-8 ≠ -84, and also note that (4-8)-1 ≠ 48, the inverse and reciprocal of 4-8, respectively. Reading all of the above, you already know most about 4 to the power of minus 8, except for its inverse which is discussed a bit further below in this section. If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it.
Here are some random calculations for you: Round your answer to the nearest tenth. That might sound fancy, but we'll explain this with no jargon! Answer and Explanation: When raising 8 to the 8th power, you get an answer of 16, 777, 216. Exponentiations like 4-8 make it easier to write multiplications and to conduct math operations as numbers get either big or small, such as in case of decimal fractions with lots of trailing zeroes. You already know what 4 to the power of minus 8 equals, but you may also be interested in learning what 4 to the 8th power stands for. See examples with positive and negative exponents. The inverse is the 1 over the 8th root of 48, and the math goes as follows: Because the index -8 is a multiple of 2, which means even, in contrast to odd numbers, the operation produces two results: (4-8)−1 =; the positive value is the principal root.