问题
解答题
化简求值: (1)(lg5)2+lg2×lg50; (2)4a
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答案
(1)(lg5)2+lg2×lg50
=(lg5)2+lg2×(lg5+1)
=(lg5)2+lg2×lg5+lg2
=lg5(lg5+lg2)+lg2
=lg5+lg2
=lg10
=1.
(2)4a
b-2 3
÷(-1 3
a-2 3
b-1 3
)1 3
=-4×
a3 2
+2 3
b-1 3
+1 3 1 3
=-6a.