# Hard SAT Math Question 45 — Video Explanation | 1600.now

Source: https://1600.now/hard/45

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45

$m^{\frac{3}{4}} = p^{\frac{3}{11}}$  
$m^{7a - \frac{1}{2}} = p$  
For the given equations, $m$ and $p$ are positive constants, and $m$ is not equal to $1$. What is the value of $a$?