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Popular >

simplify sqrt(2)^i

Solution

simplify

2^{i}

Solution

2^{\frac{i}{2}}

Solution steps

(2)^{i}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

\frac{1}{2} i : \frac{i}{2}

= 2^{\frac{i}{2}}

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Frequently Asked Questions (FAQ)

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