Question

Calculati: a) 441-(-15)²-{1+2×[-3+(4-10)}]×(-2)+6;

b) [(+5)³]⁷ : [(-5)⁴]⁵+(-1)²⁰¹⁰-(-41)⁰.

Answer 1

Răspuns:

a ) 188

b ) 5

Explicație pas cu pas:

a )

441 - ( - 15 )² - { 1 + 2 × [ - 3 + ( 4 - 10 ) ] } × ( - 2 ) + 6 = 188

441 - ( 225 ) - { 1 + 2 × [ - 3 + ( - 6 ) ] } × ( - 2 ) + 6 = 188

441 - 225 - { 1 + 2 × [ - 3 - 6 ] } × ( - 2 ) + 6 = 188

441 - 225 - { 1 + 2 × [ - 9 ] } × ( - 2 ) + 6 = 188

441 - 225 - { 1 - 18 } × ( - 2 ) + 6 = 188

441 - 225 - { - 17 } × ( - 2 ) + 6 = 188

441 - 225 + 17 × ( - 2 ) + 6 = 188

441 - 225 - 34 + 6 = 188

216 - 34 + 6 = 188

182 + 6 = 188

b )

[ ( + 5 )³ ]⁷ : [ ( - 5 )⁴ ]⁵ + ( - 1 )²⁰¹⁰ - ( - 41 )⁰ = 5

[ + 5 ]²¹ : [ 5 ]²⁰ + ( 1 ) - ( 1 ) = 5

5¹ + 1 - 1 = 5

5 + 1 - 1 = 5

6 - 1 = 5.