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