Question

Scrieți urmatoarele numere sub forma de putere cu baza 2:
a)32=............... b)128=...............
c)512=...............
d)4^35=...............
e)16^7=...................
f)1024=...............

Answer 1

a) 32 = 2 * 2 * 2 * 2 * 2 = 2⁵
b) 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2⁷
c) 512 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2⁹
d) 4³⁵ = (2²)35 = 2⁷⁰
e) 16⁷ = (2⁴)⁷ = 2²⁸
f) 1024 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2¹⁰
2.
a) 2² + 3³ = 4 + 27 = 31
b) 3⁴ - 4³ = 81 - 64 = 17
c) 5³ + 3⁵ = 125 + 243 = 368
d) 2⁵ - 5² = 32 - 25 = 7
e) 2⁷ + 7² = 128 - 49 = 79
f) 3⁴ - 9² = 81 - 81 = 0
g) 2³ + 2² + 2¹ + 2⁰ = 8 + 4 + 2 + 1 = 15
h) 3⁹ - 27³ = 19683 - 19683 = 0
3.
a) 3² + 13⁰ - 1¹⁰ + 4² = 9 + 1 - 1 + 16 = 25
b) 11² - 11¹ + 11⁰ = 121 - 11 + 1 = 111
c) 5² - 2⁵ + 19⁰ = 25 - 32 + 1 = - 6
d) 0¹³ + 13¹ + 13⁰ = 0 + 13 + 1 = 14
e) (23 - 3² - 23⁰)² - 13² = (23 - 9 - 1)² - 13² = 13² - 13² = 0