What is the answer to 1-1/3 t^{-2/3}=0 ?

The answer to 1-1/3 t^{-2/3}=0 is t= 1/(3sqrt(3)),t=-1/(3sqrt(3))

Solve for t: 1-1/3 t^{-2/3}=0

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

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1 - \frac{1}{3} t^{- \frac{2}{3}} = 0

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

Decimal Notation

t = 0.19245 \dots, t = - 0.19245 \dots

Solution steps

1 - \frac{1}{3} t^{- \frac{2}{3}} = 0

Multiply both sides by

3

1 \cdot 3 - \frac{1}{3} t^{- \frac{2}{3}} \cdot 3 = 0 \cdot 3

Simplify

3 - t^{- \frac{2}{3}} = 0

Expand

3 - t^{- \frac{2}{3}} : 3 - \frac{1}{t ^{\frac{2}{3}}}

3 - \frac{1}{t ^{\frac{2}{3}}} = 0

Remove roots

- \frac{1}{t ^{2}} = - 27

Solve

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

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

Verify Solutions:

t = \frac{1}{3 3}

True

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

True

The solutions are

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

x - 12 + x + 3 = 5

7 x + 113 + 3 = 11

0.5 (r^{2.75}) = 3

x - 4 + x + 4 = 2 x - 1

x + 12 = x + 2

What is the answer to 1-1/3 t^{-2/3}=0 ?
The answer to 1-1/3 t^{-2/3}=0 is t= 1/(3sqrt(3)),t=-1/(3sqrt(3))
Solve for t: 1-1/3 t^{-2/3}=0
The solution is t= 1/(3sqrt(3)),t=-1/(3sqrt(3))