Question

Ajutor
Dau coaroana!​

Answer 1

Răspuns:

a = 7 ; b = 1 ; c = 0

Explicație pas cu pas:

a) [(2²-3)·7 +7²] :2³ = [(4-1)·7 + 49]:8 = (7+49):8 = 56:8 = 7

b) [2017⁰ + (3²)²⁰:(3¹³)³]³⁰:8²⁰ =

= [1 +3²⁰ˣ²:3¹³ˣ³]³⁰ : (2³)²⁰ = (1+3⁴⁰:3³⁹]³⁰ : (2³ˣ²⁰) =

= (1 + 3⁴⁰⁻³⁹)³⁰ : 2⁶⁰ = (1+3)³⁰ : 2⁶⁰ = 4³⁰:2⁶⁰ =

= (2²)³⁰:2⁶⁰ = 2⁶⁰:2⁶⁰ = 1

c) 5·{5·[5·(5²-3²)-4²]-15²}:19-5² =

=  5·{5·[5·(25-9)-16]-225}:19-25 =

=  5·{5·[5·16-16]-225}:19-25 =

= 5·{5·[80-16]-225}:19-25 =

= 5·{5·64-225}:19-25 =

= 5·(320-225):19-25 =

= 5·95:19-25 = 475:19 - 25 = 25-25 = 0

Answer 2

Răspuns:

a)[(4-3)×7+7²]÷2³=

=(1×7+7²)÷2³=

=(1×7+49)÷2³=

=(7+49)÷2³=

=56÷2³=

=56÷8=

=7

b)[2017⁰+(3²)²⁰÷(3¹³)³]³⁰÷8²⁰=

=(2017⁰+3⁴⁰÷3³⁹)³⁰÷8²⁰=

=(1+3¹)³⁰÷8²⁰=

=(1+3)³⁰÷8²⁰=

=4³⁰÷8²⁰=

8²⁰=(2³)²⁰=2⁶⁰

4³⁰=(2²)³⁰=2⁶⁰

=2⁶⁰÷2⁶⁰=

=2⁰=

=1

c)5×{5×[5×(5²-3²)-4²]-15²}÷19-5²=

=5×{5×[5×(25-9)-4²]-15²}÷19-5²=

=5×[5×(5×16-4²)-15²]÷19-5²=

=5×[5×(5×16-16)-15²]÷19-5²=

=5×[5×(80-16)-15²]÷19-5²=

=5×(5×64-15²)÷19-5²=

=5×(5×64-225)÷19-5²=

=5×(320-225)÷19-5²=

=5×95÷19-5²=

=5×95÷19-25=

=475÷19-25=

=25-25=

=0