Evaluate. ((1)/(81))^((1)/(2))*((1)/(81))^(-(3)/(4))=

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Evaluate.  ((1)/(81))^((1)/(2))*((1)/(81))^(-(3)/(4))=

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Problem Understanding: Understand the problem. We need to evaluate the expression ((1)/(81))^((1)/(2))*((1)/(81))^(-(3)/(4)). This involves working with exponents and understanding the properties of exponents.Exponent Properties: Apply the properties of exponents. When multiplying expressions with the same base, we add the exponents. So, we can rewrite the expression as ((1)/(81))^((1)/(2) - (3)/(4)).Exponent Subtraction: Subtract the exponents. (1/2) - (3/4) = (2/4) - (3/4) = -(1/4). So, the expression now is ((1)/(81))^(-(1)/(4)).Base Evaluation: Evaluate the base. The base is 1/81, which is the same as 81^(-1).Negative Exponent Rule: Apply the negative exponent rule. A negative exponent means we take the reciprocal of the base. So, ((1)/(81))^(-(1)/(4)) is the same as (81^(1))^((1)/(4)).Fourth Root Evaluation: Evaluate the fourth root of 81. The fourth root of 81 is 3 because 3^4 = 81. So, the final answer is 3.

Evaluate. $\newline$ $\left(\frac{1}{81}\right)^{\frac{1}{2}} \cdot\left(\frac{1}{81}\right)^{-\frac{3}{4}}=$

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Evaluate. $\newline$ $\left(\frac{1}{81}\right)^{\frac{1}{2}} \cdot\left(\frac{1}{81}\right)^{-\frac{3}{4}}=$