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Popular >

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

Solution

simplify

(3^{3})^{3}

Solution

27

Solution steps

(3^{3})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{33}

Apply radical rule:

a a = a

33 = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is (3^{sqrt(3)})^{sqrt(3)} ?
The solution to (3^{sqrt(3)})^{sqrt(3)} is 27