What is the answer to x^{4/3}-81=0 ?

The answer to x^{4/3}-81=0 is x=27,x=-27

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x^{4/3}-81=0

x^{\frac{4}{3}} - 81 = 0

x = 27, x = - 27

Solution steps

x^{\frac{4}{3}} - 81 = 0

Move

81

to the right side

x^{\frac{4}{3}} = 81

Take both sides of the equation to the power of

3 : x^{4} = 531441

x^{4} = 531441

Solve

x^{4} = 531441 : x = 27, x = - 27

x = 27, x = - 27

Verify Solutions:

x = 27

True

, x = - 27

True

The solutions are

x = 27, x = - 27

6 - x = x

2.187 = \frac{g}{2.06}

x + 4 = x + 6

2 = x^{\frac{2}{3}}

x - 12 = 8 - x