1. Найдите значение выражения: 1) a) 3⁴; 2) a) (-8)²; 3) a) -7²; б) (0,6)²; б) (-0,5)³; б) -(-2/3)³; в) (1/4)³; в) (-1)⁷; в) -(-0,1)⁴. г) (1 1/2)⁵; г) (-1/3)⁴.

1) * a) $$3^4 = 3 \cdot 3 \cdot 3 \cdot 3 = 81$$ * б) $$(0,6)^2 = 0,6 \cdot 0,6 = 0,36$$ * в) $$\left(\frac{1}{4}\right)^3 = \frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4} = \frac{1}{64}$$ * г) $$\left(1\frac{1}{2}\right)^5 = \left(\frac{3}{2}\right)^5 = \frac{3^5}{2^5} = \frac{243}{32} = 7\frac{19}{32}$$ 2) * a) $$(-8)^2 = (-8) \cdot (-8) = 64$$ * б) $$(-0,5)^3 = (-0,5) \cdot (-0,5) \cdot (-0,5) = -0,125$$ * в) $$(-1)^7 = -1$$ * г) $$\left(-\frac{1}{3}\right)^4 = \left(-\frac{1}{3}\right) \cdot \left(-\frac{1}{3}\right) \cdot \left(-\frac{1}{3}\right) \cdot \left(-\frac{1}{3}\right) = \frac{1}{81}$$ 3) * a) $$-7^2 = -(7 \cdot 7) = -49$$ * б) $$-\left(-\frac{2}{3}\right)^3 = -\left(-\frac{2}{3} \cdot \left(-\frac{2}{3}\right) \cdot \left(-\frac{2}{3}\right)\right) = -\left(-\frac{8}{27}\right) = \frac{8}{27}$$ * в) $$-(-0,1)^4 = -((-0,1) \cdot (-0,1) \cdot (-0,1) \cdot (-0,1)) = -(0,0001) = -0,0001$$