Odpowiedź:
1.
a) (-3)⁴= (-3) x (-3) x (-3) x (-3) = 9 x 9 = 81
b) (-2)^5 = (-2) x (-2) x (-2) x (-2) x (-2) = 4 x 4 x (-2) = 16 x (-2) = -32
c) (1 1/2)^5 = 3/2 x 3/2 x 3/2 x 3/2 x 3/2 = 9/4 x 9/4 x 3/2 = 81/16 x 3/2 = 243/32 = 7 i 10/32 = 7 i 5/16
d) (15/7)^0 = 0
e) 4^-2 = 1/4^2 = 1/16
f) (-5)^-2 = (1/-5)^2 = 1/-5 x 1/-5= 1/25
g) (-1/3)^-5 = (-3)^5 = (-3) x (-3) x (-3) x (-3) x (-3) = 9 x 9 x (-3) = 81 x (-3) = -243
h) (1 i 1/4)^-3 = (5/4)^-3 = (4/5)^3 = (4/5) x (4/5) x (4/5) = 16/25 x 4/5 = 64/125
i) 8 ^ 1/3 ,= ³√ 8¹ = ³√ 2 x 2 x 2 = 2
j) 4^-1/2=( 1/4)^1/2 = √1/4
k)27^2/3 = ³√ 27^2 = ³√ 729 = ³√9x 9x 9 =9
l)(2 i 1/4)^-1,5 = (2 i 1/4)^ 3/2= √(5/4)^3 = √(5/4) x (5/4) x (5/4) = 25/16 x 5/4 =√125/64 = 5/4 √5/4
Zadanie 2
a) 49√7= 7^2 x 7 ^1/2= 7 ^5/2
b) 125 ³√ 5 = 5^3 x 5^1/3 = 5^10/3
c )4/ ³√2 =2^2 : 2^1/3= 2 ^ 5/3
/- kreska ułamkowa
³√ - pierwiastek trzeciego stopnia
