Question

demonstrati ca numarul a= 2 la puterea 25 - 5 x 2 la puterea 20 - 2 la puterea 22 se divide cu 23

Answer 1

Răspuns:

2²⁵-5×2²⁰-2²²=

2²⁰(2⁵-5·1-2²)=

2²⁰(32-5-4)=

2²⁰×23 → se divide cu 23

Answer 2

Răspuns:

Explicație pas cu pas:

$\bf 2^{25}-5\cdot2^{20}-2^{22}=$

$\bf 2^{20}\cdot\Big(2^{25-20}-5\cdot2^{20-20}-2^{22-20}\Big)=$

$\bf 2^{20}\cdot\Big(2^{5}-5\cdot2^{0}-2^{2}\Big)=$

$\bf 2^{20}\cdot\Big(32-5\cdot 1-4\Big)=$

$\bf 2^{20}\cdot\Big(32-5-4\Big)=$

$\red{\underline{\bf 2^{20}\cdot 23 ~~\vdots ~~23}}$

==pav38==