Question

16．若|x-$\frac{1}{2}$|+（y+2）²=0，則（xy）²⁰¹⁵的值為-1．

Answer 1

分析 首先根據(jù)幾個(gè)非負(fù)數(shù)的和等于0，則每個(gè)數(shù)等于0，據(jù)此即可列方程求得x和y的值，進(jìn)而求解．

解答 解：根據(jù)題意得：$\left\{\begin{array}{l}{x-\frac{1}{2}=0}\\{y+2=0}\end{array}\right.$，
解得：$\left\{\begin{array}{l}{x=\frac{1}{2}}\\{y=-2}\end{array}\right.$，
則原式=（-1）²⁰¹⁵=-1．
故答案是：-1．

點(diǎn)評(píng) 本題考查了非負(fù)數(shù)的性質(zhì)：幾個(gè)非負(fù)數(shù)的和等于0，則每個(gè)數(shù)等于0，理解非負(fù)數(shù)的性質(zhì)是關(guān)鍵．