ГДЗ до підручника «Математика» Н.А. Тарасенкової. 5 клас

581. 1) 2² + x = 10;

8 + x = 10;

x = 10 - 8;

x = 2;

2) 300 - х = 6³;

300 - x = 216;

x = 300 - 216;

x = 84;

3) 5³ + x = 625;

125 + x = 625;

x = 625 - 125;

x = 500;

4) 9 - x= 1³;

9 - x = 1;

x = 9 - 1;

x = 8.

582. 1) 2³ • x = 16;

8x = 16;

x = 2;

2) 4³ + x = 100;

64 + x = 100;

x = 100 - 64;

x = 36.

583. 1) 3² + 6;

2) 5³ - 100;

3) 6 • 10²;

4) 7³ : 49.

584. 1) 6² + 10;

2) 2 • 8²;

3) 5³ : 5.

585. 1) (2 + 12)² = 14² = 196;

2) (2 + 5)² = 7² = 49;

3) (2 + 10)² = 12² = 144.

586. 1) 2² + 12² = 4 + 144 = 148;

2) 2² + 5² = 4 + 25 = 29;

3) 2² + 10² = 4 + 100 = 104.

587. 1) (1 + 2)³ = 3³ = 27;

2) (1 + 5)³ = 6³ = 216;

3) (1 + 9)³ = 10³ = 1000.

588. 1) 1³ + 3³ = 1 + 27 = 28;

2) 1³ + 4³ = 1 + 64 = 65;

3) 1³ + 10³ = 1 + 1000 = 1001.

589. 1) 2 • 5² + 12 • 6³ + 12 • 3² = 2 • 25 + 12 • 216 + 12 • 9 = 50 + 2592 + 108 = 50 + 2700 = 2750;

2) (2 • 5² + 12) : 2³ = (2 • 25 + 12) : 8 = 62 : 8 = 7,75;

3) 15² : (6³ + 3²) = 225 : (216 + 9) = 225 : 225 = 1;

4) (2³ • 3³) : (2² • 3²) = (8 • 27) : (4 • 9) = (4 • 9 • 2 • 3) : (4 • 9) = (36 • 6) : 36 = 6.

590. 1) 5² - 2² • 6 + 4³ = 25 - 4 • 6 + 64 = 25 + 64 - 24 = 25 + 40 = 65;

2) (5² - 2² • 6) + 4³ = 65;