simplify each expression. write your answer with positive exponents assume that all variables represent positive real numbers.find the decimal value of each expression round approximate answer to four decimal places

Question

(a^^1/2b)^1/2(ab^1/2)

Answer 1

multiply exponents when raising to a power:

(a^1/2b)^1/2 = a^1/4 b^1/2

add exponents when multiplying factors:

a^1/4 b^1/2 * a b^1/2 = a^5/4 b