![]() The special case CubeRoot corresponds to Surd. To obtain a real-valued n root, Surd can be used. Because of this branch cut, Power returns a complex root by default instead of the real one for negative real x and odd positive n. Power has a branch cut discontinuity for y running from to 0 in the complex x plane for noninteger y.Exponentiation using the base of the natural logarithm E can be input as Exp but is represented using Power. The function Sqrt is represented using Power.PowerExpand can be used to do formal expansion and associated simplification, and ExpToTrig can be used to get trigonometric forms of Power expressions. ![]() Many expressions involving Power, Exp, Log, and related functions are automatically simplified or else may be simplified using Simplify or FullSimplify. The rules for combining quantities containing powers are called the exponent laws, and the process of raising a base to a given power is known as exponentiation. ![]() The operation of taking an expression to the second power is known as “squaring ” and the operation of taking an expression to the third power is known as “cubing ”.The inverse of a power function is given by Log, so solving the equation for gives a principal solution of. A number to the first power is equal to itself ( ), and 1 to any complex power is equal to 1 ( ). The expression Power is commonly represented using the shorthand syntax x^ y or written in 2D typeset form as x y. Power is a mathematical function that raises an expression to a given power.Google takes your keywords at face value while Wolfram Alpha tries to understand what you wroteĤ. Google doesn’t answer questions but provides links to information in other sites while Wolfram Alpha would try to answer your question then provide linksģ. Google is a search engine while Wolfram Alpha is a computational engineĢ. This capability is beyond what Google offers and can be very helpful to students.ġ. It can even provide you with plots and graphs of your geometric formulas along with multiple related information that it deems helpful to you. ![]() Though it can answer simple arithmetic equations, its power shines with algebra and calculus where it takes mathematical formulas and even mathematical questions in words and give you an answer. The feature of Wolfram Alpha that distinguishes it the most from Google is its capability to provide mathematical answers to any computation or mathematical formula that you enter. Wolfram Alpha, on the other hand, understands that you want to know how high the atmosphere is and gives you 1000km, which is the exact height of the atmosphere along with conversion to other units. Google would give you links where it found the words ‘height’ and ‘atmosphere’ and you need to find what you need there. For example, if you search for ‘height of atmosphere’ in both sites, the answers are very different. Where Google places links along with a few excerpts of where the keywords can be found, Wolfram Alpha presents a possible answer to what you are looking for. Looking at the results page of both Google and Wolfram Alpha, you can immediately see that there is a significant difference between the two. It does not directly link you to other web pages based on keywords, but provides a little sidebar with what it thinks is related to your search. Another method is done by Wolfram Alpha, which is not a search engine but a computational engine that tries to make sense of your entry and provides you an answer to the best of its abilities. It would then provide you with a set of links to pages, based on relevance, which may contain the data you need. Google searches web pages for words that you have entered and decides which ones are must suited for your search entry. The most common method today is by using a search engine like Google. There are many ways to find information and solutions to problems in the internet.
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