What is the answer to 2x^{3/2}= 2/125 ?

The answer to 2x^{3/2}= 2/125 is x= 1/25

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2x^{3/2}= 2/125

2 x^{\frac{3}{2}} = \frac{2}{125}

x = \frac{1}{25}

Decimal Notation

x = 0.04

Solution steps

2 x^{\frac{3}{2}} = \frac{2}{125}

Multiply both sides by

125

2 x^{\frac{3}{2}} \cdot 125 = \frac{2}{125} \cdot 125

Simplify

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

Divide both sides by

250

x^{\frac{3}{2}} = \frac{1}{125}

Take both sides of the equation to the power of

2 : x^{3} = \frac{1}{15625}

x^{3} = \frac{1}{15625}

Solve

x^{3} = \frac{1}{15625} : x = \frac{1}{25}

x = \frac{1}{25}

Verify Solutions:

x = \frac{1}{25}

True

The solution is

x = \frac{1}{25}

x = - 9 + 6 x

5 x = 2 x - 3

7 x + 39 = x + 7

x + 7 - 11 = 2

2 + 2 X = - X + 10

What is the answer to 2x^{3/2}= 2/125 ?
The answer to 2x^{3/2}= 2/125 is x= 1/25
Solve for x: 2x^{3/2}= 2/125
The solution is x= 1/25