comparati nr 4 la puterea 9 si 8 la puterea 7

4⁹ = (2²)⁹ = 2¹⁸

8⁷ = (2³)⁷ = 2²¹

2¹⁸ < 2²¹ => 4⁹ < 8⁷

Explicație pas cu pas:

[tex] {4}^{9} = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 16 \times 16 \times 16 \times 16 \times 4 = 262,144[/tex]

[tex] {8}^{7} = 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 = 64 \times 64 \times 64 \times 8 = 2,097,152[/tex]

[tex]262.144 < 2,097,152[/tex]