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

The answer to 1/3 x^{-2/3}=1 is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))

Solve for x: 1/3 x^{-2/3}=1

The solution is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))

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

x = \frac{1}{3 3}, x = - \frac{1}{3 3}

Decimal Notation

x = 0.19245 \dots, x = - 0.19245 \dots

Solution steps

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

Multiply both sides by

3

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

Simplify

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

Take both sides of the equation to the power of

- 3 : x^{2} = \frac{1}{27}

x^{2} = \frac{1}{27}

Solve

x^{2} = \frac{1}{27} : x = \frac{1}{3 3}, x = - \frac{1}{3 3}

x = \frac{1}{3 3}, x = - \frac{1}{3 3}

Verify Solutions:

x = \frac{1}{3 3}

True

, x = - \frac{1}{3 3}

True

The solutions are

x = \frac{1}{3 3}, x = - \frac{1}{3 3}

m, p = 3 + 4 m

2 x - 1 = x

3 4 x - 8 + 9 = 15

x = 3 x + 12 + 2

(x - 2)^{\frac{1}{3}} = 4

What is the answer to 1/3 x^{-2/3}=1 ?
The answer to 1/3 x^{-2/3}=1 is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))
Solve for x: 1/3 x^{-2/3}=1
The solution is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))