Question

Calcule as potências h) (3/2)⁴
i) (-3/2)⁴
J) (-3/2)³


o) (-3/5)²

Answer 1

h) 3/2.3/2.3/2.3/2
3.3.3.3=81
2.2.2.2=16
=81/16

i)(-3/2)⁴
-3/2.-3/2.-3/2.-3/2
=81/16

j)(-3/2)³
-3.-3.-3=-27
-2.-2.-2=-8
-27/8

o)(-3/5)²
-3.-3=9
5.5=25
9/25

Answer 2

Olá.bom dia ☺

Resolução:

1)

$( \frac{3}{2} )^{4}= \frac{3.3.3.3}{2.2.2.2} = \frac{81}{16}$

2)

$( \frac{-3}{2})^{4}= \frac{(-3).(-3).(-3).(-3)}{2.2.2.2} = \frac{81}{16}$

3)

$( \frac{-3}{2})^{3}= \frac{(-3).(-3).(-3)}{2.2.2} = \frac{-27}{8}$

4)

$( \frac{-3}{5})^{2}= \frac{(-3).(-3)}{5.5} = \frac{9}{25}$

Bons estudos :)