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Popular >

simplify sqrt(3)^{sqrt(5)}

Solution

simplify

3^{5}

Solution

3^{\frac{5}{2}}

+1

Decimal Notation

3.41537 \dots

Solution steps

(3)^{5}

Apply radical rule:

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

= (3^{\frac{1}{2}})^{5}

Apply exponent rule:

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

= 3^{\frac{1}{2} 5}

\frac{1}{2} 5 = \frac{5}{2}

= 3^{\frac{5}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(3)^{sqrt(5)} ?
The solution to sqrt(3)^{sqrt(5)} is 3^{(sqrt(5))/2}