Simplify fourth root of x^2* fourth root of x^2

$\sqrt[4]{x^{2}} \cdot \sqrt[4]{x^{2}}$

Rewrite $\sqrt[4]{x^{2}}$ as $\sqrt{\sqrt{x^{2}}}$ .

$\sqrt{\sqrt{x^{2}}} \cdot \sqrt[4]{x^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{x} \cdot \sqrt[4]{x^{2}}$

Rewrite $\sqrt[4]{x^{2}}$ as $\sqrt{\sqrt{x^{2}}}$ .

$\sqrt{x} \cdot \sqrt{\sqrt{x^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{x} \cdot \sqrt{x}$

Multiply $\sqrt{x} \sqrt{x}$ .

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Raise $\sqrt{x}$ to the power of $1$ .

${\sqrt{x}}^{1} \sqrt{x}$

Raise $\sqrt{x}$ to the power of $1$ .

${\sqrt{x}}^{1} {\sqrt{x}}^{1}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sqrt{x}}^{1 + 1}$

Add $1$ and $1$ .

${\sqrt{x}}^{2}$

Rewrite ${\sqrt{x}}^{2}$ as $x$ .

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Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

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

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{1}{2} \cdot 2}$

Combine $\frac{1}{2}$ and $2$ .

$x^{\frac{2}{2}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$x^{\frac{2}{2}}$

Divide $1$ by $1$ .

$x^{1}$

Simplify.

$x$

Simplify fourth root of x^2* fourth root of x^2

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