Question

Simplify

`[(0.333)^3/(0.111)^2-(0.222)^4/(0.111)^3]`

Options

• 1.331

• 1.221

• 1.484

• 1.551

Answer 1

1.221

Explanation:

`(0.333)^3/(0.111)^2-(0.222)^4/(0.111)^3`

`⇒((0.333)^3(0.111)-(0.222)^4)/(0.111)^3`

`⇒((0.111)^3(3)^3(0.111)-(0.111) ^4(2^4)) / (0.111)^3`

`⇒((0.111)^4[3^3-2^4])/(0.111)^3`

⇒ 0.111 [27 − 16]

⇒ 0.111 (11) = 1.221