1. 口算:
(1)$(-1)^{5}=$
(4)$(-3)^{2}=$
(7)$(-\frac {1}{2})^{3}=$
(10)$0^{2024}=$
(13)$\frac {-3^{2}}{6}=$
(1)$(-1)^{5}=$
-1
(2)$(-1)^{2024}=$1
(3)$(-0.1)^{2}=$0.01
(4)$(-3)^{2}=$
9
(5)$-(-3)^{2}=$-9
(6)$-3^{2}=$-9
(7)$(-\frac {1}{2})^{3}=$
$-\frac{1}{8}$
(8)$10^{4}=$10000
(9)$(-\frac {1}{6})^{2}=$$\frac{1}{36}$
(10)$0^{2024}=$
0
(11)$-(-1)^{4}=$-1
(12)$(-0.01)^{3}=$-0.000001
(13)$\frac {-3^{2}}{6}=$
$-\frac{3}{2}$
(14)$(\frac {3}{2})^{4}=$$\frac{81}{16}$
(15)$-[+(-2)]^{6}=$-64
答案:(1)-1 (2)1 (3)0.01 (4)9 (5)-9 (6)-9 (7)$-\frac{1}{8}$ (8)10000 (9)$\frac{1}{36}$ (10)0 (11)-1 (12)-0.000001 (13)$-\frac{3}{2}$ (14)$\frac{81}{16}$ (15)-64
(1)$-2^{2}×(-2)^{2}$; (2)$-3^{3}×(-\frac {1}{3})^{3}$;
(3)$(-2)^{2023}×(0.5)^{2024}$; (4)$(-2)^{3}÷4×(-1)^{100}×5$;
(5)$(-1)^{2023}÷\frac {8}{3}×(-2)^{3}$; (6)$-2^{3}÷\frac {4}{9}×(-\frac {2}{3})^{2}$;
(7)$-3^{2}×(-8)÷3÷(-2)$; (8)$(-3)^{2}÷(1\frac {1}{2})^{2}×\frac {1}{3}$.
(3)$(-2)^{2023}×(0.5)^{2024}$; (4)$(-2)^{3}÷4×(-1)^{100}×5$;
(5)$(-1)^{2023}÷\frac {8}{3}×(-2)^{3}$; (6)$-2^{3}÷\frac {4}{9}×(-\frac {2}{3})^{2}$;
(7)$-3^{2}×(-8)÷3÷(-2)$; (8)$(-3)^{2}÷(1\frac {1}{2})^{2}×\frac {1}{3}$.
答案:(1)-16 (2)1 (3)-0.5 (4)-10 (5)3 (6)-8 (7)-12 (8)$\frac{4}{3}$
解析:
(1)$-2^{2}×(-2)^{2}=-4×4=-16$
(2)$-3^{3}×(-\frac {1}{3})^{3}=-27×(-\frac {1}{27})=1$
(3)$(-2)^{2023}×(0.5)^{2024}=(-2)^{2023}×(\frac{1}{2})^{2023}×\frac{1}{2}=(-2×\frac{1}{2})^{2023}×\frac{1}{2}=(-1)^{2023}×\frac{1}{2}=-1×\frac{1}{2}=-\frac{1}{2}$
(4)$(-2)^{3}÷4×(-1)^{100}×5=-8÷4×1×5=-2×1×5=-10$
(5)$(-1)^{2023}÷\frac {8}{3}×(-2)^{3}=-1×\frac{3}{8}×(-8)=-1×(-3)=3$
(6)$-2^{3}÷\frac {4}{9}×(-\frac {2}{3})^{2}=-8×\frac{9}{4}×\frac{4}{9}=-8×1=-8$
(7)$-3^{2}×(-8)÷3÷(-2)=-9×(-8)×\frac{1}{3}×(-\frac{1}{2})=72×\frac{1}{3}×(-\frac{1}{2})=24×(-\frac{1}{2})=-12$
(8)$(-3)^{2}÷(1\frac {1}{2})^{2}×\frac {1}{3}=9÷(\frac{3}{2})^{2}×\frac{1}{3}=9÷\frac{9}{4}×\frac{1}{3}=9×\frac{4}{9}×\frac{1}{3}=4×\frac{1}{3}=\frac{4}{3}$
(2)$-3^{3}×(-\frac {1}{3})^{3}=-27×(-\frac {1}{27})=1$
(3)$(-2)^{2023}×(0.5)^{2024}=(-2)^{2023}×(\frac{1}{2})^{2023}×\frac{1}{2}=(-2×\frac{1}{2})^{2023}×\frac{1}{2}=(-1)^{2023}×\frac{1}{2}=-1×\frac{1}{2}=-\frac{1}{2}$
(4)$(-2)^{3}÷4×(-1)^{100}×5=-8÷4×1×5=-2×1×5=-10$
(5)$(-1)^{2023}÷\frac {8}{3}×(-2)^{3}=-1×\frac{3}{8}×(-8)=-1×(-3)=3$
(6)$-2^{3}÷\frac {4}{9}×(-\frac {2}{3})^{2}=-8×\frac{9}{4}×\frac{4}{9}=-8×1=-8$
(7)$-3^{2}×(-8)÷3÷(-2)=-9×(-8)×\frac{1}{3}×(-\frac{1}{2})=72×\frac{1}{3}×(-\frac{1}{2})=24×(-\frac{1}{2})=-12$
(8)$(-3)^{2}÷(1\frac {1}{2})^{2}×\frac {1}{3}=9÷(\frac{3}{2})^{2}×\frac{1}{3}=9÷\frac{9}{4}×\frac{1}{3}=9×\frac{4}{9}×\frac{1}{3}=4×\frac{1}{3}=\frac{4}{3}$