Завдання № 257

№ 257 Алгебра = № 10.27 Математика

Обчисліть:

Розв'язок:

1) 13² = 13 ⋅ 13 = 169;

2) 7³ = 7 ⋅ 7 ⋅ 7 = 343;

3) (–2,1)² = –2,1 ⋅ (–2,1) = 4,41;

4) (–1,1)³ = (–1,1) ⋅ (–1,1) ⋅ (–1,1) = –1,331;

5) $\left(\frac{3}{5}\right)^2 = \frac{3}{5} \cdot \frac{3}{5} = \frac{9}{25}$;

6) $\left(-1\frac{1}{5}\right)^2 = \left(-1\frac{1}{5}\right) \cdot \left(-1\frac{1}{5}\right) = \frac{6}{5} \cdot \frac{6}{5} =$
$= \frac{36}{25} = 1\frac{11}{25}$;

7) $\left(-1\frac{1}{3}\right)^3 = \left(-1\frac{1}{3}\right) \cdot \left(-1\frac{1}{3}\right) \cdot \left(-1\frac{1}{3}\right) =$
$= -\frac{4}{3} \cdot \left(-\frac{4}{3}\right) \cdot \left(-\frac{4}{3}\right) = -\frac{64}{27} = -2\frac{10}{27}$;

8) 0,2³ = 0,2 ⋅ 0,2 ⋅ 0,2 = 0,008.