Solve for x x^(2/3)=9

Problem

x^(2/3)=9

Solution

1. Raise both sides of the equation to the power of 3 to eliminate the denominator in the exponent.

(x^(2/3))^3=9^3

2. Simplify the exponents on the left side using the power of a power rule, (a^m)^n=a^(m*n) and calculate the value on the right side.

x^2=729

3. Take the square root of both sides to solve for x remembering to include both the positive and negative roots.

x=±√(,729)

4. Evaluate the square root of 729

x=±27

Final Answer

x=±27

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