Final answer to the problem
$e^x$
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Step-by-step Solution
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1
Simplify $\sqrt{e^{2x}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2x$ and $n$ equals $\frac{1}{2}$
$e^{2\cdot \left(\frac{1}{2}\right)x}$
Learn how to solve powers of powers problems step by step online.
$e^{2\cdot \left(\frac{1}{2}\right)x}$
Learn how to solve powers of powers problems step by step online. Simplify the power of a power e^(2x)^(1/2). Simplify \sqrt{e^{2x}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2x and n equals \frac{1}{2}. Multiply the fraction and term in 2\cdot \left(\frac{1}{2}\right)x. Multiply 2 times 1. Divide 2 by 2.
Final answer to the problem
$e^x$
