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How does the original equation (y = a x s) rearrange but have different fractions as exponents (before it was 3/2 for A and 1/2

How does the original equation (y = a x s) rearrange but have different fractions as exponents (before it was 3/2 for A and 1/2 for S but then once rearranged the exponents are different) - why does this occur?

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in steady state, GDP per capita of Country is given by 3/2 X We can rearrange it to express the relative TFP.s 1/3( y * Applying the formula to the numbers in the question we have A 0.1 1/3/ 8200 2/3 0.4 Y 0.63x 3.6=2.268 x 2.3. 1200 Friday, 19 August 2022 17:56:11 o'clock BST

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