What is the answer to x^{3/4}= 1/27 ?

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

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x^{3/4}= 1/27

x^{\frac{3}{4}} = \frac{1}{27}

x = \frac{1}{81}

Decimal Notation

x = 0.01234 \dots

Solution steps

x^{\frac{3}{4}} = \frac{1}{27}

Take both sides of the equation to the power of

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

x^{3} = \frac{1}{531441}

Solve

x^{3} = \frac{1}{531441} : x = \frac{1}{81}

x = \frac{1}{81}

Verify Solutions:

x = \frac{1}{81}

True

The solution is

x = \frac{1}{81}

7 x + 8 = - 8

(5 x + 6)^{\frac{1}{4}} = - 2

x = 2 + 8 - x

3 x + 34 = 2