Deriving jet engine formula from equations 5.1, 5.2, 5.5 and 5.6

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Equation 5.4 is
$$
T_4 = T_3 / (p_2/p_1)^{(k-1)/k}
$$
so
$$

T_4 = T_3 \left( \frac{p_2}{p_1} \right)^{-(k-1)/k} = T_3 \left( \frac{p_2}{p_1} \right)^{-(1-\frac{1}{k})}
$$
 
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