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. Now that you know what 10 to the 10th power is you can continue on your merry way.įeel free to share this article with a friend if you think it will help them, or continue on down to find some more examples. Hopefully this article has helped you to understand how and why we use exponentiation and given you the answer you were originally looking for. Why do we use exponentiations like 10 10 anyway? 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. For example, if you are multiplying a decimal by 100, you have two zeroes. The base a is raised to the power of n, is equal to n times multiplication of a. To start, just count the number of zeroes in the value you are multiplying by. Now that we've explained the theory behind this, let's crunch the numbers and figure out what 10 to the 10th power is:ġ0 to the power of 10 = 10 10 = 10,000,000,000 Because we work with a base ten numbering system, multiplying a number by 10, 100, 1000 or any other power of ten is as easy as moving the decimal place to the right. Let's look at that a little more visually:ġ0 to the 10th Power = 10 x. So we mentioned that exponentation means multiplying the base number by itself for the exponent number of times. The caret is useful in situations where you might not want or need to use superscript. 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. There are a number of ways this can be expressed and the most common ways you'll see 10 to the 10th shown are: There are two conventions for naming positive powers of 10. When you divide a number by itself more than once, the power (or exponent) value is negative. In mathematics, a power of 10 is any of the integer powers of the number 10 (dozen). The exponent is the number of times to multiply 10 by itself, which in this case is 10 times. Ten to the second power is a 1 followed by two zeroes, or 100. When we talk about exponentiation all we really mean is that we are multiplying a number which we call the base (in this case 10) by itself a certain number of times. Let's get our terms nailed down first and then we can see how to work out what 10 to the 10th power is. That might sound fancy, but we'll explain this with no jargon! Let's do it. So you want to know what 10 to the 10th power is do you? In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 10 to the power of 10".
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