Question

17．化簡(jiǎn)：（$\frac{2}{3}$x⁴y⁷-$\frac{1}{9}$x²y⁶）÷（-$\frac{1}{3}$xy³）²=6x²y-1．

Answer 1

分析 除式是積的乘方，先算乘方，再按多項(xiàng)式除以單項(xiàng)式法則進(jìn)行運(yùn)算．

解答 解：原式=（$\frac{2}{3}$x⁴y⁷-$\frac{1}{9}$x²y⁶）÷$\frac{1}{9}$x²y⁶
=6x²y-1．
故答案為：6x²y-1

點(diǎn)評(píng) 本題考查了冪的乘方、積的乘方及多項(xiàng)式除以單項(xiàng)式．注意：多項(xiàng)式除以單項(xiàng)式的結(jié)果項(xiàng)數(shù)等于多項(xiàng)式的項(xiàng)數(shù)．，結(jié)果正誤可以用乘法驗(yàn)證．