7. Compare as potências utilizando o sinal =OUneq a) (-10)^2 e -10^2 c) (-2)^6 e -(+2)^6 b) (-3)^3 e -3^3 d) -(-7)^3 e 7^3

Vamos comparar as potências utilizando o sinal:

a) $$(-10)^{2}$$ e $$-10^{2}$$

$$(-10)^{2} = (-10) \times (-10) = 100$$

$$-10^{2} = -(10 \times 10) = -100$$

Portanto, $$(-10)^{2} \neq -10^{2}$$

b) $$(-3)^{3}$$ e $$-3^{3}$$

$$(-3)^{3} = (-3) \times (-3) \times (-3) = -27$$

$$-3^{3} = -(3 \times 3 \times 3) = -27$$

Portanto, $$(-3)^{3} = -3^{3}$$

c) $$(-2)^{6}$$ e $$-(+2)^{6}$$

$$(-2)^{6} = (-2) \times (-2) \times (-2) \times (-2) \times (-2) \times (-2) = 64$$

$$-(+2)^{6} = -(2 \times 2 \times 2 \times 2 \times 2 \times 2) = -64$$

Portanto, $$(-2)^{6} \neq -(+2)^{6}$$

d) $$-(-7)^{3}$$ e $$7^{3}$$

$$-(-7)^{3} = -((-7) \times (-7) \times (-7)) = -(-343) = 343$$

$$7^{3} = 7 \times 7 \times 7 = 343$$

Portanto, $$-(-7)^{3} = 7^{3}$$