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Popular >

2x^{-3/2}=54

Solution

2 x^{- \frac{3}{2}} = 54

Solution

x = \frac{1}{9}

+1

Decimal Notation

x = 0.11111 \dots

Solution steps

2 x^{- \frac{3}{2}} = 54

Expand

2 x^{- \frac{3}{2}} : \frac{2}{x ^{\frac{3}{2}}}

\frac{2}{x ^{\frac{3}{2}}} = 54

Square both sides:

\frac{4}{x ^{3}} = 2916

\frac{4}{x ^{3}} = 2916

Solve

\frac{4}{x ^{3}} = 2916 : x = \frac{1}{9}

x = \frac{1}{9}

Verify Solutions:

x = \frac{1}{9}

True

The solution is

x = \frac{1}{9}

Popular Examples

sqrt(4x^2+16)+3=2x

4 x^{2} + 16 + 3 = 2 x

x + 31 = x + 1

(x-2)^{1/3}-3=-5

(x - 2)^{\frac{1}{3}} - 3 = - 5

solvefor a,sqrt(a)-sqrt(b)=1 solve for

a, a - b = 1

3(x-2)^{3/4}=24

3 (x - 2)^{\frac{3}{4}} = 24

Frequently Asked Questions (FAQ)

What is the answer to 2x^{-3/2}=54 ?
The answer to 2x^{-3/2}=54 is x= 1/9
Solve for x: 2x^{-3/2}=54
The solution is x= 1/9