Operation of construction of number in degree means finding of result of multiplication it on itself such number of times which is one unit less specified in an exponent. However not always the exponent is an integer - sometimes happens it is necessary to build, for example, number in degree which indicator is presented by the expression containing operation of extraction of a root.
Instruction
1. Begin with calculation or transformation to more convenient type of an exponent which contains operation of extraction of a root. For example, if under the terms of a task it is required build number 25 in degree which indicator is the cubic root from number 81, then "take" it and replace expression ³ √ 81) with the received value (9).
2. If the number received as a result of extraction of a root on the previous step is decimal fraction, then try to present it in ordinaryfractionsthe format. For example, if in statements of the problem from the previous step to replace an exponent with a cubic root from number 3.375, then as a result of its calculation you receive decimal fraction 1.5. It can be written down in a format of a common improper fraction 3/2. Construction of number 25 in such fractional degree means that it is necessary to take a square root as this number costs in an indicator denominator from it and also announce in the third degree as this number costs in numerator (√25³). Unfortunately not any decimal fraction can be presented in the form of a common fraction - most often the recurring decimal, that is irrational number is result of extraction of a root.
3. Use the calculator for calculation as the indicator containing operation of extraction of a root, and value of all expression. If it is only required to receive result, having omitted intermediate transformations, then it is possible to manage only one Internet access - the convenient calculator in use is built in, for example, the Google search engine. Let's tell if it is required build number 3.87 in degree which is equal to a square root from number 62.7, then enter into the field of a search query of Google 3.87^sqrt (62.7). The searcher will show result of calculation (45049.6293) itself, even without pressing the button of sending inquiry.