Question

Which expression is the simplified form of the square root of z to the seventh power?

z times the square root of z cubed

z squared times the square root of z

z cubed times the square root of z

z cubed times the square root of z squared

Answer 1

square root of z is z^(1/2)
then this is raised to 7th power
so expression becomes
(z^(1/2)) ^ 7

clear ?

Answer 2

two goes in to 7 3 times with a remainder of 1, so \(x^3\) comes out of the radial and on \(x\) stays in
\[\sqrt{x^7}=x^3\sqrt{x}\]

Answer 3

as is almost always the case (8 times out of 10) the answer is C

Answer 4

Thank youu!

Answer 5

yw