Respuesta:
Explicación paso a paso:
la fórmula indica [tex]x^{y}[/tex] * [tex]y^{x}[/tex] = 5x + 2y
Para [tex]3^{4}[/tex] * [tex]4^{3}[/tex] (cumple el perfil)
5(3) + 2(4) = 15 + 8 = 23 resp (C)
1204 | 2
512 | 2 1024 = [tex]2^{10}[/tex] ; 512 = [tex]2^{9}[/tex]
256 | 2 [tex]a^{a+1}[/tex] Δ [tex]b^{a-1}[/tex] = [tex](a+b)^{2}[/tex]
128 | 2 [tex]2^{10} = 2^{8} . 2^{2}[/tex] = [tex](2^{2} )^{4}[/tex]. 4 = [tex]4^{4} . 4[/tex] = [tex]4^{4+1}[/tex] => [tex]a=4[/tex]
64 | 2 si [tex]a=4[/tex] => [tex]b^{a-1} = b^{4-1} = b^{3}[/tex]
32 | 2 [tex]b^{3} = 2^{9}[/tex]
16 | 2 [tex]b^{3} = (2^{3} )^{3}[/tex]
8 | 2 [tex]b^{3} = 8^{3}[/tex] => b = 8
4 | 2 [tex]2^{10}[/tex] Δ [tex]2^{9}[/tex]
2 | 2 [tex]4^{4+1}[/tex] Δ [tex]8^{4-1}[/tex] = (4+8)² = 12² = 144
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Verified answer
Respuesta:
Explicación paso a paso:
la fórmula indica [tex]x^{y}[/tex] * [tex]y^{x}[/tex] = 5x + 2y
Para [tex]3^{4}[/tex] * [tex]4^{3}[/tex] (cumple el perfil)
5(3) + 2(4) = 15 + 8 = 23 resp (C)
1204 | 2
512 | 2 1024 = [tex]2^{10}[/tex] ; 512 = [tex]2^{9}[/tex]
256 | 2 [tex]a^{a+1}[/tex] Δ [tex]b^{a-1}[/tex] = [tex](a+b)^{2}[/tex]
128 | 2 [tex]2^{10} = 2^{8} . 2^{2}[/tex] = [tex](2^{2} )^{4}[/tex]. 4 = [tex]4^{4} . 4[/tex] = [tex]4^{4+1}[/tex] => [tex]a=4[/tex]
64 | 2 si [tex]a=4[/tex] => [tex]b^{a-1} = b^{4-1} = b^{3}[/tex]
32 | 2 [tex]b^{3} = 2^{9}[/tex]
16 | 2 [tex]b^{3} = (2^{3} )^{3}[/tex]
8 | 2 [tex]b^{3} = 8^{3}[/tex] => b = 8
4 | 2 [tex]2^{10}[/tex] Δ [tex]2^{9}[/tex]
2 | 2 [tex]4^{4+1}[/tex] Δ [tex]8^{4-1}[/tex] = (4+8)² = 12² = 144
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