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Popular >

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

Solution

simplify

3^{3}

Solution

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

+1

Solution steps

3^{3}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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