Before you attempt to solve exponential equations with radical exponents (ie fraction exponents) you should be comfortable

- simplify fraction exponents
- solve exponential equations such as
- understand what a multiplicative inverse is

### How To Solve Fraction Exponents Video

### How To Solve Fraction Exponents (Steps)

- Isolate the expression with the fractional exponent
- raise both sides to the reciprocal of the exponent
- simplify

### Example

$ x ^{\frac{2}{3}} +1 = 65 $ Step 1Isolate fraction exponent

Step 2Raise both sides to reciprocal of exponent

Step 2Simplify x = 512