1.64. Найдите значение степени: а) 25; б) (-10)4; в) (-3)3; г) (2/3)3; д) (3 1/3)2; е) (-1/3)4; ж) (0,6)3; з) (-0,11)2; и) (-0,1)7.

Question

Вопрос:

Ответ:

Accepted Answer

а) $$2^5 = 2 * 2 * 2 * 2 * 2 = 32$$
б) $$(-10)^4 = (-10) * (-10) * (-10) * (-10) = 10000$$
в) $$(-3)^3 = (-3) * (-3) * (-3) = -27$$
г) $$\left(\frac{2}{3}\right)^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}$$
д) $$\left(3 \frac{1}{3}\right)^2 = \left(\frac{10}{3}\right)^2 = \frac{10}{3} * \frac{10}{3} = \frac{100}{9} = 11 \frac{1}{9}$$
е) $$\left(-\frac{1}{3}\right)^4 = \left(-\frac{1}{3}\right) * \left(-\frac{1}{3}\right) * \left(-\frac{1}{3}\right) * \left(-\frac{1}{3}\right) = \frac{1}{81}$$
ж) $$(0.6)^3 = 0.6 * 0.6 * 0.6 = 0.216$$
з) $$(-0.11)^2 = (-0.11) * (-0.11) = 0.0121$$
и) $$(-0.1)^7 = (-0.1) * (-0.1) * (-0.1) * (-0.1) * (-0.1) * (-0.1) * (-0.1) = -0.0000001$$