What is the answer to 2/(3x^{1/3)}=1 ?

The answer to 2/(3x^{1/3)}=1 is x= 8/27

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2/(3x^{1/3)}=1

\frac{2}{3 x ^{\frac{1}{3}}} = 1

x = \frac{8}{27}

Decimal Notation

x = 0.29629 \dots

Solution steps

\frac{2}{3 x ^{\frac{1}{3}}} = 1

Multiply both sides by

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

\frac{2}{3 x ^{\frac{1}{3}}} \cdot 3 x^{\frac{1}{3}} = 1 \cdot 3 x^{\frac{1}{3}}

Simplify

2 = 3 x^{\frac{1}{3}}

Switch sides

3 x^{\frac{1}{3}} = 2

Divide both sides by

3

x^{\frac{1}{3}} = \frac{2}{3}

Take both sides of the equation to the power of

3 : x = \frac{8}{27}

x = \frac{8}{27}

Verify Solutions:

x = \frac{8}{27}

True

The solution is

x = \frac{8}{27}

8 = 4 t^{3}

x + x^{2} - 13 = 6

x + 8 - 5 = - 2