The correct option is A 2197/1331 121/169^ 3/2=(√(169)/√(121))^3=(13/11)^3=2197/1331 ...

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Exponential Representation for Irrational Numbers

What is 121/1...

Question

What is ${\frac{121}{169}}^{\frac{- 3}{2}}$ ?

2197/1331

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13/11

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11/13

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1331/2197

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Solution

The correct option is A
2197/1331

${\frac{121}{169}}^{\frac{- 3}{2}}$ = ${(\frac{\sqrt{169}}{\sqrt{121}})}^{3}$ = ${(\frac{13}{11})}^{3}$ = $\frac{2197}{1331}$

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