Question

Divide and simplify. √36 x⁴ / √9 x⁶

Answer 1

The divide and simplify of the equation √36 x⁴ / √9 x⁶ will result to  $\frac{2}{x^{2} }$

Let's begin by simplifying the equation;

Simplify the equation by finding the square root of both 36 and 9

The square root of 36= 6

The square root of 9= 3

= $\frac{6x^{4} }{3x^{6} }$

The above equation can also be written as;

=  $6x^{4} * 3x^{-6}$

The next step is to solve the powers, that is,

=   $\frac{6x^{4} }{3x^{6} }$

Cancel out 6 by 3 and get  2

The result is,  

=  $\frac{2}{x^{6-4} }$

The final submission result is,

=  $\frac{2}{x^{2} }$

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