Question

3. calculati:
2. a)2 la puterea 5+ 6 la puterea 3
b)5 la puterea 3 * 5 la puterea 5 * 5*5 la puterea 10
c) 27*3*9*81*3 la puterea 0
D)4 la putera 2* 8 la puterea 3* 2la puterea 5 *16
e) 47*47 la puterea 2* 47 la puterea 5
F)5 la puterea 0 *5 la puterea 1*5la puterea 2*125*625

Answer 1

a)   2⁵ + 6³ = 2⁵ + 2³ x 3³ = 2³ x ( 2² + 3³ ) = 8 x ( 4 + 27 ) = 8 x 31 = 248

sau:  = 32 + 36 x 6 = 32 + 216 = 248

_________________________________

b)   5³ x 5⁵ x 5 x 5¹⁰ = 5 ⁽ ³ ⁺ ⁵ ⁺ ¹ ⁺ ¹⁰ ⁾ = 5¹⁹

c)  27 x 3 x 9 x 81 x 3⁰ = 3¹⁰

= 3³ x 3 x 3² x 3⁴ x 3⁰ =

= 3 ⁽ ³ ⁺ ¹ ⁺ ² ⁺ ⁴ ⁺ ⁰ ⁾ =

= 3¹⁰

d)  

4² x 8³ x 2⁵ x 16 =

= ( 2² )² x ( 2³ )³ x 2⁵ x  2⁴ =

= 2⁴ x 2⁹ x 2⁵ x 2⁴ =

= 2 ⁽ ⁴ ⁺ ⁹ ⁺ ⁵ ⁺ ⁴ ⁾ =

= 2 ²²

e)

47 x 47 ² x 47 ⁵ = 47 ⁽ ¹ ⁺ ² ⁺ ⁵ ⁾ = 47⁸

f)

5⁰ x 5¹ x 5² x 125 x 625 = 5¹⁰

5 ⁽ ⁰ ⁺ ¹ ⁺ ² ⁾ x 5³ x 5⁴ =

= 5 ⁽ ³ ⁺ ³ ⁺ ⁴ ⁾ =

= 5¹⁰

= 2 ⁽ ⁴ ⁺