1114mmg 1114mmg
  • 11-07-2018
  • Mathematics
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Write two expressions that are equivalent to the expression listed below. (X^1/3)^2

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smmwaite
smmwaite smmwaite
  • 11-07-2018
Answer

1) X⁽²/³⁾
2) (∛X)²


Explanation
The rule of indies states that..

A⁽ᵇ⁾∧ˣ ⁿ  =  A⁽ᵇˣⁿ⁾
X⁽₁/₃⁾∧₂  =  X⁽²/³⁾

We can also write the same expressions as;

A¹/ⁿ = ⁿ√A

So, 
X⁽₁/₃⁾∧₂ = (∛X)²


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