The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula for it.

中文翻译：

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某个二项指数和及其四次幂的均值

本文的主要目的是利用勒让德符号的性质和经典高斯和的性质来研究某个二项指数和的四次幂均值的计算问题，并给出一个有趣的计算公式。