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

The answer to x^{-4/3}=81 is x= 1/27 ,x=-1/27

Solve for x: x^{-4/3}=81

The solution is x= 1/27 ,x=-1/27

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

x = \frac{1}{27}, x = - \frac{1}{27}

Decimal Notation

x = 0.03703 \dots, x = - 0.03703 \dots

Solution steps

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

Take both sides of the equation to the power of

- 3 : x^{4} = \frac{1}{531441}

x^{4} = \frac{1}{531441}

Solve

x^{4} = \frac{1}{531441} : x = \frac{1}{27}, x = - \frac{1}{27}

x = \frac{1}{27}, x = - \frac{1}{27}

Verify Solutions:

x = \frac{1}{27}

True

, x = - \frac{1}{27}

True

The solutions are

x = \frac{1}{27}, x = - \frac{1}{27}

3 y + 4 = 2 + y + 2

\frac{2}{1 + t ^{2}} + 3 = 4.2

5 x = 3 x

2 x^{2} - 1 = x

a, a + 2 ab + b = 36

What is the answer to x^{-4/3}=81 ?
The answer to x^{-4/3}=81 is x= 1/27 ,x=-1/27
Solve for x: x^{-4/3}=81
The solution is x= 1/27 ,x=-1/27