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Precalculus Examples
Step 1
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 2
Step 2.1
Simplify the left side.
Step 2.1.1
Simplify .
Step 2.1.1.1
Multiply the exponents in .
Step 2.1.1.1.1
Apply the power rule and multiply exponents, .
Step 2.1.1.1.2
Cancel the common factor of .
Step 2.1.1.1.2.1
Cancel the common factor.
Step 2.1.1.1.2.2
Rewrite the expression.
Step 2.1.1.1.3
Cancel the common factor of .
Step 2.1.1.1.3.1
Cancel the common factor.
Step 2.1.1.1.3.2
Rewrite the expression.
Step 2.1.1.2
Simplify.
Step 2.2
Simplify the right side.
Step 2.2.1
Simplify .
Step 2.2.1.1
Simplify the expression.
Step 2.2.1.1.1
Rewrite as .
Step 2.2.1.1.2
Apply the power rule and multiply exponents, .
Step 2.2.1.2
Cancel the common factor of .
Step 2.2.1.2.1
Cancel the common factor.
Step 2.2.1.2.2
Rewrite the expression.
Step 2.2.1.3
Raise to the power of .
Step 3
Step 3.1
First, use the positive value of the to find the first solution.
Step 3.2
Move all terms not containing to the right side of the equation.
Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
Subtract from .
Step 3.3
Next, use the negative value of the to find the second solution.
Step 3.4
Move all terms not containing to the right side of the equation.
Step 3.4.1
Subtract from both sides of the equation.
Step 3.4.2
Subtract from .
Step 3.5
The complete solution is the result of both the positive and negative portions of the solution.