Question

Which expression is equivalent to (2^1/2x2^3/4)^2?

a.4sqrt2^3 - 4 is like a coefficent
b.sqrt 2^5
c.4sqrt4^3 - 4 is like a coefficent
d.sqrt 4^5
please help im on my cumlative exam.

Answer 1

(2^1/2x2^3/4)^2
((2^1/2)(2^3/4))^2
((2^1/2)^2)((2^3/4)^2)
(2)(2^3/2)
(4*2^3)^(1/2)
(2*2*2^3)^(1/2)
(*2^5/2)
The answer for this case is
b. sqrt 2^5