数学题1/3×3×5(4的平方+1)(4的四次方+1)(4的八次方+1)+1/3等于多少?（要简便方法）_数学解答

数学题1/3×3×5(4的平方+1)(4的四次方+1)(4的八次方+1)+1/3等于多少?（要简便方法）

人气：325 ℃　时间：2019-09-29 01:12:32

解答

(1/3)×3×5(4^2+1)(4^4+1)(4^8+1)+1/3
=(1/3)×(4-1)×(4+1)(4^2+1)(4^4+1)(4^8+1)+1/3
=(1/3)×(4^2-1)(4^2+1)(4^4+1)(4^8+1)+1/3
=(1/3)×(4^4-1)(4^4+1)(4^8+1)+1/3
=(1/3)×(4^8-1)(4^8+1)+1/3
=(1/3)×(4^16-1)+1/3
=(1/3)[(4^16-1)+1]
=(1/3)4^16