Question

seja m=[(5/3)elevado a -2] elevado a 1,5 .(0,6) elevado a -2

Answer 1

[(5/3)^-2]^1,5 . 0,6^-2

[(3/5)^2]^3/2 . (6/10)^-2

[9/25]^3/2 . (10/6)^2

[9/25]^3/2 . 100/36

√(9.9.9/25.25.25) . 50/18

27/125 . 25/9

27/5 . 1/9

27/5.9

3/5


Lembre das seguintes propriedades:

$x^{k/n} = \sqrt[n]{x^{k}} \\ \\ x^{1/2} = \sqrt[2]{x} \\ \\ x^{2/3} = \sqrt[3]{x^{2}} \\ \\ x^{3/2} = \sqrt[2]{x^{3}}$

Bons estudos :)