Вычисление степеней

1. $$\left(1\frac{2}{3}\right)^{3} = \left(\frac{5}{3}\right)^{3} = \frac{5^{3}}{3^{3}} = \frac{125}{27} = 4\frac{17}{27}$$
2. $$\left(-2\frac{1}{3}\right)^{2} = \left(-\frac{7}{3}\right)^{2} = \frac{(-7)^{2}}{3^{2}} = \frac{49}{9} = 5\frac{4}{9}$$
3. $$(0{,}75)^{0} = 1$$, любое число в степени 0 равно 1.
4. $$0^{7} = 0$$
5. $$(0{,}6)^{2} = 0{,}6 \cdot 0{,}6 = 0{,}36$$
6. $$1^{12} = 1$$
7. $$(-5)^{0} = 1$$
8. $$(-40)^{3} = (-40) \cdot (-40) \cdot (-40) = -64000$$

Ответы:

• $$\left(1\frac{2}{3}\right)^{3} = 4\frac{17}{27}$$
• $$\left(-2\frac{1}{3}\right)^{2} = 5\frac{4}{9}$$
• $$(0{,}75)^{0} = 1$$
• $$0^{7} = 0$$
• $$(0{,}6)^{2} = 0{,}36$$
• $$1^{12} = 1$$
• $$(-5)^{0} = 1$$
• $$(-40)^{3} = -64000$$