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Popular >

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

Solution

simplify

2^{22}

Solution

2^{2}

+1

Decimal Notation

2.66514 \dots

Solution steps

(2)^{22}

Apply radical rule:

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

= (2^{\frac{1}{2}})^{22}

Apply exponent rule:

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

= 2^{\frac{1}{2} \cdot 22}

\frac{1}{2} \cdot 22 = 2

= 2^{2}

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Frequently Asked Questions (FAQ)

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