How to solve Fraction Exponents $ x ^{\frac{2}{3}} +1 = 65 $

Exponential Equations with a radical in the exponent

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

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 1

Isolate fraction exponent

Step 2

Raise both sides to reciprocal of exponent

Step 2

Simplify x = 512

Practice Problems

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