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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Solving Equations with a Fractional Exponent

Example

Solve for y: (3y - 1) -1/3 + 4 = 6.

 Solution (3y - 1) -1/3 + 4 = 6 Since the exponent is negative we will not convert to radical form. Instead, we will just use the properties of exponents. Step 1 Isolate a radical term. Subtract 4 from both sides. Step 2 Apply the Principle of Powers. (3y - 1) -1/3 = 2 To â€œundoâ€ the exponent, -1/3, we raise each side to the -3 power. = 2 -3 Step 3 Solve the resulting equation. Use the Power of a Power Property of exponents to rewrite the left side. = 2 -3 Simplify. (3y - 1)1 = 2 -3 Rewrite . 3y - 1 Write 3y - 1 Add 1 to both sides in the form 3y Divide both sides by 3. y
Step 4 Check the solution.

So, the solution is