simplify the expression; write without using negative exponents. Assume all numbers are positive

Question

(b^1/2 X a^-5/3)^2

1/2^2 = .25 so 1/4 so b^1/4 and 5/3^2=2.77 so is it b^1/4 a^2.77

Answer 1

(a^b)^c = a^(bc)
and
1/2 * 2 = 1 not .25

Answer 2

(b^1/2 X a^-5/3)^2

b^1 a^-10/3 = b/ a^(10/3)

Answer 3

b/a^10/3

no.

(bⁿ)^m = n^mn
and...

a^-m= 1/a^m