问题
解答题
化简或求值: (1)2(
(2)
|
答案
(1)2(
×3 2
)6+(3
)2 2
-4(4 3
)-16 49
-1 2
×80.25+(-2005)04 2
=2(2
×31 3
)6+(21 2
×21 2
)1 4
-4×4 3
-27 4
×21 4
+13 4
=2×22×33+2-7-2+1
=210.
(2)在
中,lg5•lg8000+(lg2
)23 lg600-
lg0.361 2
分子=lg5(3+3lg2)+3(lg2)2
=3lg5+3lg2(lg5+lg2)=3;
分母=(lg6+2)-lg
=lg6+2-lg36 100
=3.6 10
∴
=lg5•lg8000+(lg2
)23 lg600-
lg0.361 2
=1.3 3