Simplify e^((1)/(2)ln 25) Answer:

Recognize Properties: Recognize the properties of logarithms and exponents. The expression e^((1)/(2)ln 25) can be simplified using the property that e^(ln x) = x. This is because the natural logarithm ln is the inverse function of the exponential function e^x.Apply Exponent: Apply the exponent to the logarithm. Using the property that (e^(ln x))^n = x^n, we can rewrite the expression as (e^(ln 25))^(1/2).Simplify Expression: Simplify the expression using the property from Step 1. Since e^(ln 25) is simply 25, we now have 25^(1/2).Calculate Value: Calculate the value of 25^(1/2). The expression 25^(1/2) is equivalent to the square root of 25, which is 5.

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Simplify $e^{\frac{1}{2} \ln 25}$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Simplify

e^{\frac{1}{2} \ln 25}

\newline

Answer:

Recognize Properties: Recognize the properties of logarithms and exponents. $\newline$ The expression $e^{(\frac{1}{2}\ln 25)}$ can be simplified using the property that $e^{\ln x} = x$ . This is because the natural logarithm $\ln$ is the inverse function of the exponential function $e^x$ .
Apply Exponent: Apply the exponent to the logarithm. $\newline$ Using the property that $(e^{\ln x})^n = x^n$ , we can rewrite the expression as $(e^{\ln 25})^{1/2}$ .
Simplify Expression: Simplify the expression using the property from Step $1$ . $\newline$ Since $e^{\ln 25}$ is simply $25$ , we now have $25^{\frac{1}{2}}$ .
Calculate Value: Calculate the value of $25^{1/2}$ . The expression $25^{1/2}$ is equivalent to the square root of $25$ , which is $5$ .