1) а) 11^2=121; (-5)^3=-125; (-3)^4=81; 3^(-2)=1/9; (-4)^(-3)=-1/64; (-2)^(-4)=1/16
b) (0,2)^5=(1/5)^5=1/3125; (-3/4)^4=3^4/4^4=81/256; (-1 2/3)^3=-(5/3)^3=-125/27
(0,2)^(-4)=(1/5)^(-4)=5^4=625; (-1/5)^(-3)=-5^3=-125; (-2 1/3)^(-2)=(7/3)^(-2)=9/49
c) (2/3)^5=32/243; (-3 1/2)^4=(7/2)^4=2401/16; -(-0,4)^5=-(-2/5)^5=32/3125
(-2,1)^(-3)=-(21/10)^(-3)=-(10/21)^3=-1000/9261; (-1 1/4)^(-2)=(5/4)^(-2)=16/25
2) a) 3^(-2)*3^5 + 3^0 = 3^3 + 1 = 28
(-3)^5 : (-3)^5 - 3 = 1 - 3 = -2
(3^2)^4 : 3^5 - 3^2 = 3^8 : 3^5 - 3^2 = 3^3 - 3^2 = 27 - 9 = 18
b) совсем расплывается
с) -(0,2)^(-3)*5^(-3) - 2^(-3) = -(1/5)^(-3)*5^(-3) - (1/2)^3 = -1 - 1/8 = -9/8
(7^(-3))^(-3) : 7^9 - (1/3)^(-2) = 7^9 : 7^9 - 3^2 = 1 - 9 = -8
36^(-3) : 18^(-3) + (0,1)^(-2) = 2^(-3) + 10^2 = 1/8 + 100 = 801/8
3) a) 7*10^2; 1,3*10^(-2)
b) 3,2*10^6; 3,2*10^(-6)
c) 1,27*10^9; 3,21*10^(-7)
4) a) 11; 11; 5; -5; b) 15; 15; 1,7; -1,7; c) 2,5; 3,5; 7,01; -2,1
5) a) √(2*18)=√36=6; ∛(3*9)=∛27=3; (2√3)/(2√3)=1; 4∛(16/2)=4∛8=16
b) √(2*162)=√324=18; ∛(11*121)=11; 2√(125/5)=10; 3∛(10/1,25)=3∛8=6
c) √(3*243)=3^3=27; ∛(36*48)=∛(216*8)=12; 2√(20/0,8)=10; 4∛(25/0,2)=20
6) a) x>=-2; x - любое, b) x>=-1/3; x - любое; с) x<=3/2; x - любое<br>