Question

O inverso da quarta potencia de 1, 5 e igual a ?

- 1/20
- 1/16
16/81
4/9

Answer 1

Queremos determinar o valor de $[(1,5)^4]^{-1}$

Observe que $1,5=\dfrac{15}{10}=\dfrac{3}{2}$. Assim:

$[(1,5)^4]^{-1}=\left[\left(\dfrac{3}{2}\right)^{4}\right]^{-1}=\left[\dfrac{3^4}{2^4}\right]^{-1}=\left[\dfrac{81}{16}\right]^{-1}=\dfrac{16}{81}$

Answer 2

Vamos lá :

{(1,5)⁴}⁻¹

1,5 = 15 ÷ 5/10 ÷ 5 = 3/2

{(1,5)⁴}⁻¹ = {(3/2)⁴}⁻¹ = {3⁴/2⁴}⁻1 = 2⁴/3⁴ = 16/81

A alternativa correta é "c) 16/81"

Espero ter ajudado !!!