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Popular >

simplify sqrt((e^t)^2)

Solution

simplify

(e^{t})^{2}

Solution

e^{t}

Solution steps

(e^{t})^{2}

(e^{t})^{2} : e^{t \cdot 2}

= e^{t \cdot 2}

Apply radical rule:

assuming

a \geq 0

= e^{\frac{t \cdot 2}{2}}

Divide the numbers:

\frac{2}{2} = 1

= e^{t}

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Frequently Asked Questions (FAQ)

What is sqrt((e^t)^2) ?
The solution to sqrt((e^t)^2) is e^t