What is the answer to 5/6 x^{-1/6}=1 ?

The answer to 5/6 x^{-1/6}=1 is x= 15625/46656

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5/6 x^{-1/6}=1

\frac{5}{6} x^{- \frac{1}{6}} = 1

x = \frac{15625}{46656}

Decimal

x = 0.33489 \dots

Solution steps

\frac{5}{6} x^{- \frac{1}{6}} = 1

Multiply both sides by

6

\frac{5}{6} x^{- \frac{1}{6}} \cdot 6 = 1 \cdot 6

Simplify

5 x^{- \frac{1}{6}} = 6

Expand

5 x^{- \frac{1}{6}} : \frac{5}{x ^{\frac{1}{6}}}

\frac{5}{x ^{\frac{1}{6}}} = 6

Take both sides of the equation to the power of

6 : \frac{15625}{x} = 46656

\frac{15625}{x} = 46656

Solve

\frac{15625}{x} = 46656 : x = \frac{15625}{46656}

x = \frac{15625}{46656}

Verify Solutions:

x = \frac{15625}{46656}

True

The solution is

x = \frac{15625}{46656}

3 x - 2 x^{2} + 9 = 0

3 - x + x - 7 - 1 - x = 9

x^{2} - 1 = x^{2} - 5

x^{3} + 3 x - 2 = 2

x - 3 - 2 x = - 6

What is the answer to 5/6 x^{-1/6}=1 ?
The answer to 5/6 x^{-1/6}=1 is x= 15625/46656
Solve for x: 5/6 x^{-1/6}=1
The solution is x= 15625/46656