What is the answer to 2/3 x^{-1/3}= 3/7 ?

The answer to 2/3 x^{-1/3}= 3/7 is x= 2744/729

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2/3 x^{-1/3}= 3/7

\frac{2}{3} x^{- \frac{1}{3}} = \frac{3}{7}

x = \frac{2744}{729}

Decimal Notation

x = 3.76406 \dots

Solution steps

\frac{2}{3} x^{- \frac{1}{3}} = \frac{3}{7}

Find Least Common Multiplier of

3, 7 : 21

Multiply by LCM=

21

\frac{2}{3} x^{- \frac{1}{3}} \cdot 21 = \frac{3}{7} \cdot 21

Simplify

14 x^{- \frac{1}{3}} = 9

Expand

14 x^{- \frac{1}{3}} : \frac{14}{x ^{\frac{1}{3}}}

\frac{14}{x ^{\frac{1}{3}}} = 9

Take both sides of the equation to the power of

3 : \frac{2744}{x} = 729

\frac{2744}{x} = 729

Solve

\frac{2744}{x} = 729 : x = \frac{2744}{729}

x = \frac{2744}{729}

Verify Solutions:

x = \frac{2744}{729}

True

The solution is

x = \frac{2744}{729}

2 y = 0

x + 4 = 1 + x - 3

x^{2} + 9 + 9 x^{2} + 25 = 18

9 = t^{2} - 16

What is the answer to 2/3 x^{-1/3}= 3/7 ?
The answer to 2/3 x^{-1/3}= 3/7 is x= 2744/729
Solve for x: 2/3 x^{-1/3}= 3/7
The solution is x= 2744/729