Question

Express each of the following as a rational number:
(i) (2/3)^5
(ii) (-8/5)^3
(iii) (-13/11)^2
(iv) (1/6)^3

Please show step wise ​

Answer 1

(i) (2/3)⁵

2/3×2/3×2/3×2/3×2/3

32/243

(ii) (-8/5)³

-8/5×(-8/5)×(-8/5)

-512/125

(iii) (-13/11)²

-13/11×(-13/11)

169/121

(iv) (1/6)³

1/6×1/6×1/6

1/216