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Popular >

simplify sqrt(1-e^{3x)}^2

Solution

simplify

1 - e^{3 x}^{2}

Solution

- e^{3 x} + 1

Solution steps

(1 - e^{3 x})^{2}

Apply radical rule:

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

= ((1 - e^{3 x})^{\frac{1}{2}})^{2}

Apply exponent rule:

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

= (1 - e^{3 x})^{\frac{1}{2} \cdot 2}

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

= (1 - e^{3 x})

Remove parentheses:

(a) = a

= 1 - e^{3 x}

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Frequently Asked Questions (FAQ)

What is sqrt(1-e^{3x)}^2 ?
The solution to sqrt(1-e^{3x)}^2 is -e^{3x}+1