Question

Which expression is the simplified form of the square root of z^7 ?

Answer 1

(z^7)^(1/2)=
z^(7/2)

Answer 2

it has to be one of these?


z square root of z^3

z^2 square root of z

z^3 square root of z

z^3 square root of z^2

Answer 3

Here's a hint
\[z^{7/2}=z^{\frac{6}{2}+\frac{1}{2}}= z^{\frac{6}{2}}z^{\frac{1}{2}}\]

Answer 4

is it the second one cause thats what i got the first time i did it.

Answer 5

Look at the exponents in my hint. 6/2 =3 and 1/2 means square root.

Answer 6

okay i am still a little cunfused but i think its the last one?

Answer 7

try again

Answer 8

\[z^{\frac{6}{2}}z^{\frac{1}{2}}= z^{3}z^{1/2}\]
by definition, \[z^{1/2}= \sqrt{z}\]

Answer 9

okays so the third one?

Answer 10

Yes. Can you figure out why you are confused?

Answer 11

yeah sorry this question just confused me more than the others thanks your your help! :)

Answer 12

practice makes perfect.