Упр.1035 ГДЗ Мерзляк Полонский 6 класс (Математика)

1) (-2)5;
2) (-0,6)2;
3) (-1*1/5)3;
4) (-1*1/2)2;
5) (-1)10;
6) (-1)23.

1) $$(-2)^5 = (-2)\cdot(-2)\cdot(-2)\cdot(-2)\cdot(-2) = 4\cdot4\cdot(-2) = 16\cdot(-2) = -32.$$

2) $$(-0{,}6)^2 = (-0{,}6)\cdot(-0{,}6) = 0{,}36.$$

3) $$\left(-1\frac{1}{5}\right)^3 = \left(-\frac{6}{5}\right)^3 = \left(-\frac{6}{5}\right)\cdot\left(-\frac{6}{5}\right)\cdot\left(-\frac{6}{5}\right) = -\frac{216}{125} = -1\frac{91}{125}.$$

4) $$\left(-1\frac{1}{2}\right)^2 = \left(-\frac{3}{2}\right)^2 = \left(-\frac{3}{2}\right)\cdot\left(-\frac{3}{2}\right) = \frac{9}{4} = 2\frac{1}{4}.$$

5) $$(-1)^{10} = 1.$$

6) $$(-1)^{23} = -1.$$

Ответ

1) $$-32$$; 2) $$0{,}36$$; 3) $$-1\frac{91}{125}$$; 4) $$2\frac{1}{4}$$; 5) $$1$$; 6) $$-1$$.