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49^(1/2)/49^(1/4) = 49^(1/2 -1/4) = 49^(1/4) =(49^(1/2))^(1/2) = 7^(1/2) = √7
√7⁵ * 7^(-3/2) =√7⁵ * √7⁻³ = √7²= 7
9^(-3/4)*27^(-3/2) = 9^(-3/4)*9^(-3/2)*3^(-3/2) = 3^(-6/4)*3^(-6/2)*3^(-3/2) =
= 3^(-6/4-6/2-3/2) = 3^(-24/4) = 3⁻⁶