Question

Si: 2X = 3 ^ 3y= 2 Calcula: E = 4x+1 +9Y+2 a) 360 c) 362 e) 120 b) 361 d) 260

Ayuda es para hoy plsss​

Answer 1

Verified answer

Lo primero :

[tex]E = {4}^{x + 1} + {9}^{y + 2} \\ E= ({2}^{2} )^{x + 1} + { ({3}^{2} )}^{y + 2} \\ E= {2}^{2x + 2} + {3}^{2y + 4} \\ E = {2}^{2x} \times {2}^{2} + {3}^{2y} \times {3}^{4} \\ E= ( {2}^{x} ) {}^{2} \times {2}^{2} + { ({3}^{y} )}^{2} \times {3}^{4} [/tex]

Luego de buscar la forma de 2^x y 3^3, reemplaza esos datos :

[tex] E= {3}^{2} \times {2}^{2} + {2}^{2} \times {3}^{4} \\ E= 9 \times 4 + 4 \times 81 \\ E = 36 + 324 = 360[/tex]