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Popular >

simplify sqrt(2^{(x^2))}

Solution

simplify

2^{(x^{2})}

Solution

2^{\frac{x ^{2}}{2}}

Solution steps

2^{(x^{2})}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

x^{2} \frac{1}{2} : \frac{x ^{2}}{2}

= 2^{\frac{x ^{2}}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(2^{(x^2))} ?
The solution to sqrt(2^{(x^2))} is 2^{(x^2)/2}