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Express the given expression without logs, in simplest form. Assume all variables represent positive values.

(2^(log_(2)(4wx)))
Answer:

Express the given expression without logs, in simplest form. Assume all variables represent positive values. $\newline$ $\left(2^{\log _{2}(4 w x)}\right)$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Express the given expression without logs, in simplest form. Assume all variables represent positive values.

\newline

\left(2^{\log _{2}(4 w x)}\right)

\newline

Answer:

Understand Properties of Logarithms: Understand the expression and the properties of logarithms. The expression is $2^{\log_{2}(4wx)}$ . According to the property of logarithms, $a^{\log_a(b)} = b$ , where a > 0 and $a \neq 1$ .
Apply Logarithmic Property: Apply the property of logarithms to simplify the expression. $\newline$ Using the property from Step $1$ , we can simplify the expression as follows: $\newline$ $2^{\log_{2}(4wx)} = 4wx$
Check for Simplifications: Check for any possible simplifications. Since $4wx$ is already in its simplest form and there are no further operations to perform, this is the final answer.

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