# How do you write #7sqrt(z^5)# as an exponential expression?

##### 1 Answer

Jan 14, 2016

If

#### Explanation:

Suppose

Then by De Moivre's formula we find:

#z^5 = cos(2pi)+i sin(2pi) = 1#

So

However:

#z^(5/2) = cos(pi) + i sin(pi) = -1#

So: