Raise each side of the equation to the reciprocal of the rational exponent.
x=13
Practice makes perfect
Solving a equation with an expression raised to a rational exponent usually involves three main steps.
Isolate the expression raised to a rational exponent on one side of the equation.
Raise each side of the equation to a power equal to the reciprocal of the rational exponent.
Solve the resulting equation. Remember to check your results!
Now we can analyze the given equation.
(x-5)^(13)-4=-2
First, let's isolate the expression raised to a rational exponent, (x-5)^(13), on one side of the equation.
Next, we will check the solution by substituting 13 for x into the original equation. If the substitution produces a true statement, we know that our answer is correct. If it does not, then it is an extraneous solution.
