Question

10.Wykonaj działania:
a.2 –³
b.4²
c.-4²
d.(-4)²
e.(-4)³
f.(2½)²
g.-2²
h.a³ . a . a-²
i. (2x² . y)³
j.(x³)⁴
k.(0,2)⁵ . (2 ½)⁵
I.[(2-³)²]-¹
ł.(5 . 4⁷-4 . 16³): 2¹²

Answer 1

a. 2 -³ = 1/2³ = 1/8

b. 4² = 4 * 4 = 16

c. -4² = -(4 * 4) = -16

d. (-4)² = (-4) * (-4) = 16

e. (-4)³ = (-4) * (-4) * (-4) = -64

f. (2½)² = 2.5 * 2.5 = 6.25

g. -2² = -(2 * 2) = -4

h. a³ . a . a⁻² = a^(3+1-2) = a²

i. (2x² . y)³ = (2x²y)³ = 8x^6y^3

j. (x³)⁴ = x^(3*4) = x^12

k. (0.2)⁵ . (2½)⁵ = (0.2 * 2.5)⁵ = 0.5⁵ = 0.03125

l. [(2⁻³)²]⁻¹ = (1/8)⁻¹ = 8

ł. (5 * 4⁷ - 4 * 16³) / 2¹² = (5 * 16384 - 4 * 4096) / 4096 = 81920 / 4096 = 20