Question 147256


*[Tex \LARGE sqrt{z^{18}}] Start with the given expression



*[Tex \LARGE \left(z^{18}\right)^{\frac{1}{2}}] Convert the expression from radical notation to exponent notation. Remember *[Tex \LARGE \sqrt{\textrm{A}}=\sqrt[2]{\textrm{A}}=\textrm{A}^{\frac{1}{2}}]



*[Tex \LARGE z^{\frac{18}{2}}] Multiply the exponents

 

*[Tex \LARGE z^{9}] Reduce

 
 
So *[Tex \LARGE sqrt{z^{18}}=z^{9}] where z is a positive number.