Simplify (8 square root of x)^2

${(8 \sqrt{x})}^{2}$

Simplify the expression.

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Apply the product rule to $8 \sqrt{x}$ .

$8^{2} {\sqrt{x}}^{2}$

Raise $8$ to the power of $2$ .

$64 {\sqrt{x}}^{2}$

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

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

$64 {(x^{\frac{1}{2}})}^{2}$

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

$64 x^{\frac{1}{2} \cdot 2}$

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

$64 x^{\frac{2}{2}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$64 x^{\frac{2}{2}}$

Divide $1$ by $1$ .

$64 x^{1}$

Simplify.

$64 x$

Simplify (8 square root of x)^2

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