Solving Equations with Rational Exponents

The problems in this lesson involve solving equations with rational exponents. For example, to solve x^(1/2) = 6, we take both sides to the reciprocal power on the x, which is 2/1, or 2, and we have x = 6^2, or x = 36. Notice how the fractional exponent on the left side becomes an exponent of 1. In other words, the fractional exponents disappear. So remember the following rule for solving rational exponent equations: take both sides of the equation to the reciprocal power of the fractional exponent on the variable.

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