Question

[(-11)¹¹]¹¹ : (-11)¹²°

Answer 1

Explicação passo-a-passo:

Temos que:

• $\sf [(-11)^{11}]^{11}=(-11)^{11\cdot11}=(-11)^{121}$

Assim:

$\sf \dfrac{[(-11)^{11}]^{11}}{(-11)^{120}}$

$\sf =\dfrac{(-11)^{121}}{(-11)^{120}}$

$\sf =(-11)^{121-120}$

$\sf =(-11)^1$

$\sf =-11$

Answer 2

Oie, Td Bom?!

$= \left [ ( - 11) {}^{11} \right ] {}^{11} \div ( - 11) {}^{120}$

$= \left [ ( - 11) {}^{11} \right ] {}^{11} \div 11 {}^{120}$

$= \frac{\left [ ( - 11) {}^{11} \right ] {}^{11} }{11 {}^{120} }$

$= \frac{\left [ - 11 {}^{11} \right ] {}^{11} }{11 {}^{120} }$

$= \frac{ -\left [11 {}^{11} \right ] {}^{11} }{11 {}^{120} }$

$= \frac{ - 11 {}^{11 \: . \: 11} }{11 {}^{120} }$

$= \frac{ - 11 {}^{121} }{ - 11 {}^{120} }$

$= - 11 {}^{121 - 120}$

$= - 11 {}^{1}$

$= - 11$

Att. Makaveli1996