Question

Calculati:
a) (-5) * (-3) + (-2) * (+7) b) (-11 + 7 - 6) : (15 - 20)
c) (-2)³ + (-5)² - (-1) la puterea 20 ** ^20 **
d) [ (-3)^6 * 3^10 * (-3)^5 ]² : (-27)^14
ajutooor va roog muuult

Answer 1

a) ( - 5 ) × ( - 3 ) + ( - 2 ) × ( + 7 ) = 15 - 14 = 1

b) ( - 11 + 7 - 6 ) : ( 15 - 20 ) = ( - 4 - 6 ) : ( - 5 ) = ( - 10 ) : ( - 5 ) = 2

c) ( - 2) ³+ ( - 5 ) ² - [( - 1 ) ²⁰] ²⁰ = - 8 + 25 - 1 = 17 - 1 = 16

d) [ ( - 3 )⁶ x 3¹⁰ x ( - 3 ) ⁵]² : ( - 27 )¹⁴ = 1

= [ ( 3) ⁽ ⁶ ⁺ ¹⁰ ⁺ ⁵ ] ² : ( - 3³ ) ¹⁴ = ( - ) x ( - ) = +

= 3 ²¹ ˣ ² : ( - 3)³ ˣ ¹⁴ =

= 3 ⁴² : 3⁴²= ( - ) la putere para = +

= 3 ⁽ ⁴² ⁻ ⁴² ) =

= 3⁰ = 1

Answer 2

a)

(-5)•(-3)+(-2)•(+7)=

15-2•7=15-14=1

b)

(-11+7-6):(15-20)=

-10:(15-20)=-10:-5=2



$c) \\ \\ ( - 2) ^{3} + ( -5) ^{2} - ( - 1) ^{20} = \\ \\ - {2}^{3} + ( - 5) ^{2} - ( - 1) ^{20} = \\ \\ - 8 + ( - 5) ^{2} - ( - 1) ^{20} = \\ \\ - 8 + {5}^{2} - ( - 1) ^{20} = \\ \\ - 8 + 25 - ( - 1) ^{20} = \\ \\ - 8 + 25 - {1}^{20} = - 8 + 25 - 1 = 16$