Question

simplify (square root of 4 (1/x^12)^2/3​

Answer 1

Answer:

4√x

Step-by-step explanation:

4√(1/x)-12*-2/3

=4√((1/x)^8

=4√x

Answer 2

The correct answer is $\frac{2}{x^{4} }$.

Given: The equation = $\sqrt{4(\frac{1}{x^{12} } )^{\frac{2}{3} }}$.

To Find: Simplify the equation.

Solution:

$\sqrt{4(\frac{1}{x^{12} } )^{\frac{2}{3} }}$

= 2$\sqrt{(\frac{1}{x^{12} } )^{\frac{2}{3} }}$

= 2$\sqrt{(\frac{1}{x } )^{\frac{2}{3}*12}}$

= $2(\frac{1}{x} )^{\frac{2}{3} }*^{\frac{1}{2} *12}$

= 2$(\frac{1}{x} )^{4}$

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

Hence, the answer is  $\frac{2}{x^{4} }$.

#SPJ2