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Popular >

simplify sqrt(3)^{sqrt(3)}

Solution

simplify

3^{3}

Solution

3^{\frac{3}{2}}

+1

Decimal Notation

2.58939 \dots

Solution steps

(3)^{3}

Apply radical rule:

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

= (3^{\frac{1}{2}})^{3}

Apply exponent rule:

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

= 3^{\frac{1}{2} 3}

\frac{1}{2} 3 = \frac{3}{2}

= 3^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(3)^{sqrt(3)} ?
The solution to sqrt(3)^{sqrt(3)} is 3^{(sqrt(3))/2}