计算:2的n+3次方减16乘2的n次方除以2乘2的n+2次方因式分解提公因式法。_数学解答

计算:2的n+3次方减16乘2的n次方除以2乘2的n+2次方
因式分解提公因式法。

人气：140 ℃　时间：2020-01-28 11:04:42

解答

[2^(n+3)-16*2^n]÷2*2^(n+2)
=[2^(n+3)-(2^4)*2^n]÷2^(n+3)
=[2^(n+3)-2^(n+4)]÷2^(n+3)
=[2^(n+3)-2*2^(n+3)]÷2^(n+3)
=2^(n+3)(1-2)÷2^(n+3)
=-2^(n+3)÷2^(n+3)
=-1