Understanding non-competitive behavior in labor markets has become crucial to gain insight into labor market dynamics, and estimating labor supply wage elasticities can help determine the existence of oligopsony power. By building on Manning (2003), I use matched employer-employee data, and take advantage of sector-specific shocks to payroll taxes, to estimate labor supply wage elasticities for the Brazilian labor market. I estimate separation and recruitment elasticities using an IV approach that allows for the identification of exogenous variation in wages through the reform on payroll taxes implemented in Brazil, which represents shocks to labor demand. While standard OLS estimates are low (and unrealistic) as in the recent literature, estimates using the IV approach are much more reasonable. Results indicate that there exists considerable labor market power by firms in Brazil, with a market-level elasticity of 1.4 and a firm-level elasticity of 4.4. Finally, I evaluate whether oligopsony power is different between skill levels, as well as between more or less urbanized and informal municipalities. I find that firms exert higher markdowns for low-skill workers, and that higher labor market power is correlated with lower urbanization and higher informality.