计算:0.08^1340*[(-5)^2009]^2
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/07/16 20:05:33
计算:0.08^1340*[(-5)^2009]^2
![计算:0.08^1340*[(-5)^2009]^2](/uploads/image/z/18214799-23-9.jpg?t=%E8%AE%A1%E7%AE%97%3A0.08%5E1340%2A%5B%28-5%29%5E2009%5D%5E2)
(0.08^1340)×[(-5)^2009]^2
=[(2/25)^1340]×(5^4018)
=[(2^1340)/(25^1340)]×(5^4018)
={(2^1340)/[(5^2)^1340)]}×(5^4018)
=[(2^1340)/(5^2680)]×(5^4018)
=(2^1340)×[5^(-2680)]×(5^4018)
=[(2^1340)/(5^2680)]×(5^4018)
=(2^1340)×[5^(4018-2680)]
=(2^1340)×(5^1338)
=(2^1338)×(2^2)×(5^1338)
=[(2×5)^1338]×4
=4×10^1338
=[(2/25)^1340]×(5^4018)
=[(2^1340)/(25^1340)]×(5^4018)
={(2^1340)/[(5^2)^1340)]}×(5^4018)
=[(2^1340)/(5^2680)]×(5^4018)
=(2^1340)×[5^(-2680)]×(5^4018)
=[(2^1340)/(5^2680)]×(5^4018)
=(2^1340)×[5^(4018-2680)]
=(2^1340)×(5^1338)
=(2^1338)×(2^2)×(5^1338)
=[(2×5)^1338]×4
=4×10^1338