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Popular >

3x^{-1/2}=27

Solution

3 x^{- \frac{1}{2}} = 27

Solution

x = \frac{1}{81}

+1

Decimal Notation

x = 0.01234 \dots

Solution steps

3 x^{- \frac{1}{2}} = 27

Expand

3 x^{- \frac{1}{2}} : \frac{3}{x ^{\frac{1}{2}}}

\frac{3}{x ^{\frac{1}{2}}} = 27

Square both sides:

\frac{9}{x} = 729

\frac{9}{x} = 729

Solve

\frac{9}{x} = 729 : x = \frac{1}{81}

x = \frac{1}{81}

Verify Solutions:

x = \frac{1}{81}

True

The solution is

x = \frac{1}{81}

Popular Examples

sqrt(z^2-8)-sqrt(6z-17)=0

z^{2} - 8 - 6 z - 17 = 0

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

p - 2 p = 8

sqrt(x+16)-sqrt(x)=2

x + 16 - x = 2

sqrt(x+12)-sqrt(x-3)=3

x + 12 - x - 3 = 3

Frequently Asked Questions (FAQ)

What is the answer to 3x^{-1/2}=27 ?
The answer to 3x^{-1/2}=27 is x= 1/81
Solve for x: 3x^{-1/2}=27
The solution is x= 1/81