Odpowiedź:
7. a) 2⁴ - 3³ + 4² = 16 - 27 + 16 = 5
b) [tex](-\frac{2}{3})^{2} -( \frac{1}{2}) ^{2} = \frac{4}{9} - \frac{1}{4} = \frac{16}{36} - \frac{9}{36} = \frac{7}{36}[/tex]
c) 3² + 3⁴ + 3³ = 3²(1 + 3² + 3) = 9 × 13 = 117
8. [tex](1,4)^{2} -(0,4)^{2} = (\frac{14}{10 })^{2} - (\frac{4}{10} )^{2} = (\frac{7}{5})^{2} - (\frac{2}{5})^{2} = \frac{49}{25} - \frac{4}{25} = \frac{45}{25} = \frac{9}{5} = 1\frac{4}{5}[/tex]
9. a) 6² = 36
b) [tex](\frac{3}{4} )^{3} = \frac{27}{64}[/tex]
c) (-4)² = 16
d) 0,49¹ = 0,49
e)[tex](4\frac{2}{5})^{0} = 1[/tex]
10. 4³ = 4×4×4
Odp: C
11. a) P = a²
P = 8² = 8×8 = 64[cm²]
b) V = a³
V = 7³ = 7×7×7 = 343[cm³]
Szczegółowe wyjaśnienie: