Question

Calcule em R as potências:

a) (





)



b) (





)



c) (





)​

Answer 1

Explicação passo-a-passo:

a)

$\sf \left(\dfrac{1}{2}\right)^5=\dfrac{1^5}{2^5}$

$\sf \left(\dfrac{1}{2}\right)^5=\red{\dfrac{1}{32}}$

b)

$\sf \left(\dfrac{2}{3}\right)^{-4}=\left(\dfrac{3}{2}\right)^{4}$

$\sf \left(\dfrac{2}{3}\right)^{-4}=\red{\dfrac{81}{16}}$

c)

$\sf \left(\dfrac{2}{5}\right)^4=\dfrac{2^4}{5^4}$

$\sf \left(\dfrac{2}{5}\right)^4=\red{\dfrac{16}{625}}$

Answer 2

Resposta:

a) 1/32

b) (3/2)^4=81/16

c) 16/625