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(1)(lg5)2+2lg2-(lg2)2(2)(259)0.5+(2764)−23+(0.1)−2−3π0.
题目详情
(1)(lg5)2+2lg2-(lg2)2
(2)(
)0.5+(
)−
+(0.1)−2−3π0.
(2)(
25 |
9 |
27 |
64 |
2 |
3 |
▼优质解答
答案和解析
(1)原式=(lg5+lg2)(lg5-lg2)+2lg2
=lg10×(lg5-lg2)+2lg2
=1×(lg5-lg2)+2lg2
=lg5+lg2
=lg10
=1;
(2)原式=(
)2×0.5+(
)3×(−
)+10-1×(-2)-3π0
=
+
+100-3
=100+
=
.
=lg10×(lg5-lg2)+2lg2
=1×(lg5-lg2)+2lg2
=lg5+lg2
=lg10
=1;
(2)原式=(
5 |
3 |
3 |
4 |
2 |
3 |
=
5 |
3 |
16 |
9 |
=100+
4 |
9 |
=
904 |
9 |
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