Question

Responda as potências com expoente negativo:
a) (4/3)-²
b)(-3/2)-²
c) 3-¹
d)(½)-³
e)(-4)-²

Answer 1

Explicação passo-a-passo:

$a)( \frac{4}{3} ) {}^{ - 2} = ( \frac{3}{4} ) {}^{2} = \frac{3}{4} . \frac{3}{4} = \frac{3.3}{4.4} = \frac{9}{16}$

$b)( \frac{ - 3}{2} ) {}^{ - 2} = ( \frac{ - 2}{3} ) {}^{2} = - \frac{2}{3} . - \frac{2}{3} = \frac{4}{9}$

$c)3 {}^{ - 1} = \frac{1}{3}$

$d)( \frac{1}{2} ) {}^{ - 2} = 2 {}^{2} = 2.2 = 4$

$e)( - 4) {}^{ - 2} = ( - \frac{1}{4} ) {}^{2} = - \frac{1}{4} . - \frac{1}{4} = \frac{1}{16}$