What is one way the executive branch checks the power of the judicial
branch?

One way the President checks judicial power is through his ability to appoint federal judges.

Explanion:

Since the President is the Chief Administrator, it's his job to appoint a court of appeals judges, district court judges, and Supreme Court justices.

The Executive Branch Checks on the Legislature included “Veto power and Vice President isPresident of the Senate” while for Checks on the Judiciary: “Power to appoint judges andPardon power”.

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