Question

13•2la puterea a 2014-5•2la puterea a 2015-2•2la puterea a 2013​

Answer 1

Răspuns:

2²⁰¹⁵

Explicație pas cu pas:

13 × 2²⁰¹⁴ - 5 × 2²⁰¹⁵ - 2 × 2²⁰¹³

13 × 2²⁰¹⁴ - 5 × 2²⁰¹⁵ - 2²⁰¹⁴

12 × 2²⁰¹⁴ - 5 × 2²⁰¹⁵

6 × 2 × 2²⁰¹⁴ - 5 × 2²⁰¹⁵

(6 - 5) × 2²⁰¹⁵

1 × 2²⁰¹⁵

2²⁰¹⁵

Answer 2

Răspuns:

2²⁰¹⁵

Explicație pas cu pas:

Salutare!

$\bf 13 \cdot {2}^{2014} - 5\cdot {2}^{2015} - 2\cdot {2}^{2013} =$

$\bf {2}^{2013}\cdot (13 \cdot {2}^{2014 - 2013} - 5\cdot {2}^{2015 - 2013} - 2\cdot {2}^{2013 - 2015}) =$

$\bf {2}^{2013}\cdot (13 \cdot {2}^{1} - 5\cdot {2}^{2} - 2\cdot {2}^{0}) =$

$\bf {2}^{2013}\cdot (13 \cdot 2 - 5\cdot 4 - 2\cdot 1) =$

$\bf {2}^{2013}\cdot (26 - 20- 2) =$

$\bf {2}^{2013}\cdot 4 =$

$\bf {2}^{2013}\cdot {2}^{2} =$

$\bf {2}^{2013 + 2} =$

$\boxed{\bf {2}^{2015}}$

==pav38==