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Popular >

simplify (sqrt(1-e^{2x)})^2

Solution

simplify

(1 - e^{2 x})^{2}

Solution

- e^{2 x} + 1

Solution steps

(1 - e^{2 x})^{2}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((1 - e^{2 x})^{\frac{1}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (1 - e^{2 x})^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= 1 - e^{2 x}

= - e^{2 x} + 1

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Frequently Asked Questions (FAQ)

What is (sqrt(1-e^{2x)})^2 ?
The solution to (sqrt(1-e^{2x)})^2 is -e^{2x}+1