1. 口算:
(1)$(-1)^{5}=$
(4)$(-3)^{2}=$
(7)$(-\frac {1}{2})^{3}=$
(10)$0^{2025}=$
(13)$\frac {-3^{2}}{6}=$
(1)$(-1)^{5}=$
-1
; (2)$(-1)^{2025}=$-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}=$$\frac{1}{36}$
;(10)$0^{2025}=$
0
; (11)$-(-1)^{4}=$-1
; (12)$(-0.01)^{3}=$-0.000001
;(13)$\frac {-3^{2}}{6}=$
$-\frac{3}{2}$
; (14)$(\frac {3}{2})^{4}=$$\frac{81}{16}$
; (15)$-[+(-2)]^{6}=$-64
.答案:1. (1) -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
2. 计算:
(1)$-2^{2}×(-2)^{2}$; (2)$-3^{3}×(-\frac {1}{3})^{3}$;
(3)$(-2)^{2024}×(\frac {1}{2})^{2025}$; (4)$(-2)^{3}÷4×(-1)^{100}×5$;
(5)$(-1)^{2024}÷\frac {8}{3}×(-2)^{3}$; (6)$-2^{3}÷\frac {4}{9}×(-\frac {2}{3})^{2}$;
(7)$-3^{2}×(-8)÷3÷(-2)$; (8)$(-3)^{2}÷(1\frac {1}{2})^{2}×\frac {1}{3}$.
(1)$-2^{2}×(-2)^{2}$; (2)$-3^{3}×(-\frac {1}{3})^{3}$;
(3)$(-2)^{2024}×(\frac {1}{2})^{2025}$; (4)$(-2)^{3}÷4×(-1)^{100}×5$;
(5)$(-1)^{2024}÷\frac {8}{3}×(-2)^{3}$; (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:2. (1) -16 (2) 1 (3) $\frac{1}{2}$ (4) -10 (5) -3 (6) -8 (7) -12 (8) $\frac{4}{3}$
解析:
(1)解:原式$=-4×4=-16$
(2)解:原式$=-27×(-\frac{1}{27})=1$
(3)解:原式$=(-2)^{2024}×(\frac{1}{2})^{2024}×\frac{1}{2}=[(-2)×\frac{1}{2}]^{2024}×\frac{1}{2}=(-1)^{2024}×\frac{1}{2}=1×\frac{1}{2}=\frac{1}{2}$
(4)解:原式$=-8÷4×1×5=-2×1×5=-10$
(5)解:原式$=1×\frac{3}{8}×(-8)=\frac{3}{8}×(-8)=-3$
(6)解:原式$=-8÷\frac{4}{9}×\frac{4}{9}=-8×\frac{9}{4}×\frac{4}{9}=-8$
(7)解:原式$=-9×(-8)÷3÷(-2)=72÷3÷(-2)=24÷(-2)=-12$
(8)解:原式$=9÷(\frac{3}{2})^{2}×\frac{1}{3}=9÷\frac{9}{4}×\frac{1}{3}=9×\frac{4}{9}×\frac{1}{3}=4×\frac{1}{3}=\frac{4}{3}$
(2)解:原式$=-27×(-\frac{1}{27})=1$
(3)解:原式$=(-2)^{2024}×(\frac{1}{2})^{2024}×\frac{1}{2}=[(-2)×\frac{1}{2}]^{2024}×\frac{1}{2}=(-1)^{2024}×\frac{1}{2}=1×\frac{1}{2}=\frac{1}{2}$
(4)解:原式$=-8÷4×1×5=-2×1×5=-10$
(5)解:原式$=1×\frac{3}{8}×(-8)=\frac{3}{8}×(-8)=-3$
(6)解:原式$=-8÷\frac{4}{9}×\frac{4}{9}=-8×\frac{9}{4}×\frac{4}{9}=-8$
(7)解:原式$=-9×(-8)÷3÷(-2)=72÷3÷(-2)=24÷(-2)=-12$
(8)解:原式$=9÷(\frac{3}{2})^{2}×\frac{1}{3}=9÷\frac{9}{4}×\frac{1}{3}=9×\frac{4}{9}×\frac{1}{3}=4×\frac{1}{3}=\frac{4}{3}$