作业帮计算,﹙n／m﹚ √ ﹙n／2m²﹚ × [ ﹙－1／m﹚ √ ﹙n³／m³﹚ ] ÷ √ ﹙n／2m³﹚﹙m＞0,n＞0﹚
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/28 17:13:05
![计算,﹙n／m﹚ √ ﹙n／2m²﹚ × [ ﹙－1／m﹚ √ ﹙n³／m³﹚ ] ÷ √ ﹙n／2m³﹚﹙m＞0,n＞0﹚](/uploads/image/z/2002001-41-1.jpg?t=%E8%AE%A1%E7%AE%97%2C%EF%B9%99n%EF%BC%8Fm%EF%B9%9A+%E2%88%9A+%EF%B9%99n%EF%BC%8F2m%26%23178%3B%EF%B9%9A+%C3%97+%5B+%EF%B9%99%EF%BC%8D1%EF%BC%8Fm%EF%B9%9A+%E2%88%9A+%EF%B9%99n%26%23179%3B%EF%BC%8Fm%26%23179%3B%EF%B9%9A+%5D+%C3%B7+%E2%88%9A+%EF%B9%99n%EF%BC%8F2m%26%23179%3B%EF%B9%9A%EF%B9%99m%EF%BC%9E0%2Cn%EF%BC%9E0%EF%B9%9A)
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计算,﹙n／m﹚ √ ﹙n／2m²﹚ × [ ﹙－1／m﹚ √ ﹙n³／m³﹚ ] ÷ √ ﹙n／2m³﹚﹙m＞0,n＞0﹚
计算,
﹙n／m﹚ √ ﹙n／2m²﹚ × [ ﹙－1／m﹚ √ ﹙n³／m³﹚ ] ÷ √ ﹙n／2m³﹚
﹙m＞0,n＞0﹚
计算,﹙n／m﹚ √ ﹙n／2m²﹚ × [ ﹙－1／m﹚ √ ﹙n³／m³﹚ ] ÷ √ ﹙n／2m³﹚﹙m＞0,n＞0﹚
原式=(n/m)√(n/2m²)×[(-1/m)√(n³/m³)]÷√(n/2m³) ( m﹥0,n﹥0 )
=[n/m×(-1/m)]×√(n/2m²×n³/m³÷n/2m³)
=(-n/m²)×√(n/2m²×n³/m³×2m³/n)
=(-n/m²)×√(n³/m²)
=(-n/m²)×√[(n/m)²×n]
=(-n/m²)×(n/m)×√n
=-(n²/m³)√n