Simplify (0.333)^3/(0.111)^2-(0.222)^4/(0.111)^3 - Mathematics

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MCQ

Simplify

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

Options

  • 1.331

  • 1.221

  • 1.484

  • 1.551

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Solution

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

Concept: Simplification
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