# Unknown number 7

Calculate unknown number whose 12th power when divided by the 9th power get a number 27 times greater than the unknown number. Determine the unknown number.

Result

x1 =  5.196
x2 =  -5.196

#### Solution:

$x^{ 12 }/x^9=27x \ \\ x^3=27x \ \\ x^2=27 \ \\ x_{1}=\sqrt{ 27 }=3 \ \sqrt{ 3 } \doteq 5.1962 \doteq 5.196$
$x_{2}=-\sqrt{ 27 }=- 3 \ \sqrt{ 3 } \doteq -5.1962 \doteq -5.196$

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