This topic focuses on solving for the variable \( x \) in equations involving exponents, specifically using the power law. Each problem is structured around equating a base raised to the power of the square root of \( x \) to another exponential expression with a different base and exponent. The problems require utilizing properties of exponents and roots to isolate and solve for \( x \). Students are provided with multiple-choice answers, testing their ability to apply algebraic rules to manipulate and solve exponent equations effectively.