Question

Mă ajută și pe mine va rog urgent dau coroana ex 2.3.5.6.va rog.

Answer 1

Exercitiul 2

a)2² x 2³ x 2⁰ x 2=2⁶

b)5³x 5⁵ x 5 x 5¹⁰=5¹⁹

c)27 x 3 x 9 x 81 x 3⁰=3³ x 3 x 3² x 3⁴ x 3⁰=3¹⁰

d)4² x 8³ x 2⁵ x 16=(2²)² x (2³)³ x 2⁵ x 2⁴=2⁴ x 2⁹ x2⁵ x 2⁴=2²²

e)47 x 47² x 47⁵=47¹⁺²⁺⁵=47⁸

f)5⁰ x 5¹ x 5² x 5³ x 5⁴=5¹⁰

Exercitiul 3

a)2⁵+6³=2⁵+(3*2)³=2⁵+3³*2³=(2²+3³)*2³=(4+27)*8=248

b)5²-3²=25-9=16

c)2³+2⁴+2¹=8+16+2=26

d)14²-10²-8²=(7*2)²-(5*2)²-(4*2)²=7²*2²-5²*2²-4²*2²=(7²-5²-4²)*2²=(49-25-16)*2²=8*2²=2³*2²=2⁵=32

e)2⁵-2³+9⁰=32-8+1=25

f)7³-14²-7¹=343-196-7=140

g)5⁰+5¹+5²=1+5+25=31

h)4³-3³+5⁰=64-27+1=38

i)2³+5³+2*3=8+125+6=139

Exercitiiul 5

a)2¹⁷*2²¹=2¹⁷⁺²¹=2³⁸

b)3⁴⁵*3⁸⁷*3⁵⁵=3⁴⁵⁺⁸⁷⁺⁵⁵=3¹⁸⁷

c)7¹⁹*7⁸³*7=17¹⁹*7⁸³*7¹=17¹⁹*7⁸³⁺¹=17¹⁹*7⁸⁴

d)2⁴⁷:2³⁹=2⁴⁷⁻³⁹=2⁸=256

e)5¹⁰⁸:5⁷²=5¹⁰⁸⁻⁷²=5³⁶

f)2³⁷*2⁴⁷:2⁵⁰=2³⁷*2⁴⁷*2⁻⁵⁰=2³⁷⁺⁴⁷⁻⁵⁰=2³⁴

g) (10¹²)¹⁵=10¹²*¹⁵=10¹⁸⁰

h) (2¹⁷)⁸*2³¹=2¹³⁶*2³¹=2¹⁶⁷

i)3¹⁰⁸:(3¹⁵)⁶=3¹⁰⁸:3⁹⁰=3¹⁸

j) (3⁷*5¹²)²=(5⁵*15⁷)²=(3125*15⁷)²=3125²*15¹⁴

k) (2¹⁰*3⁷)⁹:(2⁵*3⁶)¹⁰=(2¹⁰*3⁷)⁹ / (2⁵*3⁶)¹⁰=(2³*6⁷)⁹ / (3*6⁵)¹⁰=(2²⁷*6⁶³) /  (59049*6⁵⁰)= (2²⁷*6¹³) / (59049)= (12¹³*2¹⁴) / (59049)= (12¹³*16384) / (59049)

Exercitiul 6

a) (5¹⁷ * 5¹⁸+7²³:7¹⁵):(7*7²*7⁵+5⁵⁰:5¹⁵)=(5³⁵+7⁸):(7⁸+5³⁵)=1

Punctul b. l-am facut , dar nu sunt sigura daca e corect .

Succese !