幂的运算性质是整式乘法和除法的基础.同学们对性质的正向运用一般都比较熟练,但对它们的逆用却往往不太习惯.其实,在解题中若能灵活地逆用幂的运算性质,可使许多问题化难为易、化繁为简.现举例说明如下.一逆用a~m·a~n=a~(m+n)例1已知a~m=3,a~n=2,求a~(m+n)的值.分析:逆用同底数幂的乘法法则,将a~(m+n)转化为a~m·a~n即可.解:因为a~m=3,a~n=2,所以a~(m+n)=a~m·a~n=6. The nature of power operation is the basis of integer multiplication and division. Students are generally more familiar with the nature of the use of the nature, but the reverse is often not used to them. In fact, if the problem can be flexibly inverse power A ~ m · a ~ n = a ~ (m + n) Example 1 known a ~ m = 3, a ~ n = 2, find the value of a ~ (m + n). Analysis: reverse the same base multiplication rule, the a ~ (m + Since a ~ m = 3 and a ~ n = 2, a ~ (m + n) = a ~ m · a ~ n = 6.