What is the answer to 2u^{(-3)/4}= 1/3 ?

The answer to 2u^{(-3)/4}= 1/3 is u=6\sqrt[3]{6}

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2u^{(-3)/4}= 1/3

2 u^{\frac{- 3}{4}} = \frac{1}{3}

Decimal Notation

u = 10.90272 \dots

Solution steps

2 u^{\frac{- 3}{4}} = \frac{1}{3}

Multiply both sides by

3

2 u^{\frac{- 3}{4}} \cdot 3 = \frac{1}{3} \cdot 3

Simplify

6 u^{\frac{- 3}{4}} = 1

Expand

6 u^{\frac{- 3}{4}} : \frac{6}{u ^{\frac{3}{4}}}

\frac{6}{u ^{\frac{3}{4}}} = 1

Take both sides of the equation to the power of

4 : \frac{1296}{u ^{3}} = 1

\frac{1296}{u ^{3}} = 1

Solve

Verify Solutions:

True

The solution is

x^{2} + x + 5 = 3 x^{3} + x^{2} - x + 2

x - 1 + 2 x - 2 = 2

256 16 + x = 16

- 4 x + 8 = 2 x

x - 2 = 4

What is the answer to 2u^{(-3)/4}= 1/3 ?
The answer to 2u^{(-3)/4}= 1/3 is u=6\sqrt[3]{6}
Solve for u: 2u^{(-3)/4}= 1/3
The solution is u=6\sqrt[3]{6}