What is the answer to x^{4/9}=16 ?

The answer to x^{4/9}=16 is x=512,x=-512

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x^{4/9}=16

x^{\frac{4}{9}} = 16

x = 512, x = - 512

Solution steps

x^{\frac{4}{9}} = 16

Take both sides of the equation to the power of

9 : x^{4} = 1 6^{9}

x^{4} = 1 6^{9}

Solve

x^{4} = 1 6^{9} : x = 512, x = - 512

x = 512, x = - 512

Verify Solutions:

x = 512

True

, x = - 512

True

The solutions are

x = 512, x = - 512

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