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Popular >

simplify (sqrt(2))^{sqrt(3)}

Solution

simplify

(2)^{3}

Solution

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

+1

Decimal Notation

1.82263 \dots

Solution steps

(2)^{3}

Apply radical rule:

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

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

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