Learn more about this topic: fromChapter 19 / Lesson 8. Now, we would like to show you what the inverse operation of 4 to the negative 8th power, (4-8)−1, is. The exponent is the number of times to multiply 4 by itself, which in this case is 8 times. So you want to know what 4 to the 8th power is do you? 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. See examples with positive and negative exponents. To solve this, you would multiply 3 by itself, 4 times: 3 × 3 × 3 × 3 = 81. 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. In this post we are going to answer the question what is 4 to the negative 8th power.
Answer and Explanation: When raising 8 to the 8th power, you get an answer of 16, 777, 216. 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. 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. Round your answer to the nearest tenth. The caret is useful in situations where you might not want or need to use superscript. 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. 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. Thus, we can answer what is 4 to the negative 8th power as. Four to the negative eighth power is the same as 4 to the power minus 8 or 4 to the minus 8 power.
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. The number 4 is called the base, and the number minus 8 is called the exponent. The measures of the legs of a right triangle are 15 m and 20 m. What is the length of the hypotenuse? Four to the Negative Eighth Power. 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. 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.
Calculate Exponentiation. Thanks for visiting 4 to the negative 8th power. Welcome to 4 to the negative 8th power, our post about the mathematical operation exponentiation of 4 to the power of -8. I'll give you brainlyest if you answer. What is 4 to the 8th Power?. A power of 10 is as many number 10s as indicated by the exponent multiplied together. Let's get our terms nailed down first and then we can see how to work out what 4 to the 8th power is.
Why do we use exponentiations like 48 anyway? If our explanations have been useful to you, then please hit the like button to let your friends know about our site and this post 4 to the -8th power. 4-8 stands for the mathematical operation exponentiation of four by the power of negative eight. In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 4 to the power of 8". 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. What is an Exponentiation? 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.
Keep reading to learn everything about four to the negative eighth power. Here are some random calculations for you: In math, an exponent is a power that a specific number is raised to. 4 to the Power of -8. Next is the summary of our content. Cite, Link, or Reference This Page. We really appreciate your support!
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. 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. Enter your number and power below and click calculate. 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. Using the aforementioned search form you can look up many numbers, including, for instance, 4 to the power minus 8, and you will be taken to a result page with relevant posts.
When n is equal to 0, the power of 10 is 1; that is, 100 = 1. What is the length of the hypotenuse? Hopefully this article has helped you to understand how and why we use exponentiation and given you the answer you were originally looking for. Accessed 9 March, 2023. 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.
Random List of Exponentiation Examples. Retrieved from Exponentiation Calculator. 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. So What is the Answer? Let's break this down into steps. If you made it this far you must REALLY like exponentiation! 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.
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