What is (sqrt(x\sqrt{x)})^{sqrt(x)} ?

The solution to (sqrt(x\sqrt{x)})^{sqrt(x)} is (xsqrt(x))^{(sqrt(x))/2}

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

simplify

(x x)^{x}

(x x)^{\frac{x}{2}}

Solution steps

(x x)^{x}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

\frac{1}{2} x : \frac{x}{2}

= (x x)^{\frac{x}{2}}

0.22 \cdot 1 0^{- 1}

(e^{l n (x)})^{(e^{5})}

\frac{L ^{2}}{T ^{2}}

\frac{e ^{- x}}{e ^{4 x}}

(x - 1)^{2} (x^{2} - x + 1)^{2}

What is (sqrt(x\sqrt{x)})^{sqrt(x)} ?
The solution to (sqrt(x\sqrt{x)})^{sqrt(x)} is (xsqrt(x))^{(sqrt(x))/2}