Please help me with this on how to do it. New to the forum. First post. Thanks!

√z^5

2. Hello, kingchris626!

$\text{Simplify: }\;\sqrt{z^5}$

$\sqrt{z^5} \;=\;\sqrt{z^4\cdot z} \;=\;\sqrt{z^4}\cdot\sqrt{z} \;=\;z^2\sqrt{z}$

3. Thank you!

4. Another way to do this is to write the square root as a "1/2" power:
$\sqrt{z^5}= (z^5)^{1/2}= z^{5/2}$. Of course, $\frac{5}{2}= 2+ \frac{1}{2}$ so $\sqrt{z^5}= z^{5/2}= z^2z^{1/2}= z^2\sqrt{z}$