计算:0.08^1340*[(-5)^2009]^2
问题描述：
计算:0.08^1340*[(-5)^2009]^2
答
(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