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Algebra Examples

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

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

Step 1

Use

\sqrt[n]{a^{x}} = a^{\frac{x}{n}}

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

\sqrt{x}

$\sqrt{x}$ as

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

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

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

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

Step 2

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

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

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

Step 3

Combine

\frac{1}{2}

$\frac{1}{2}$ and

2

$2$ .

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

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

Step 4

Cancel the common factor of

2

$2$ .

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Step 4.1

Cancel the common factor.

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

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

Step 4.2

Rewrite the expression.

x^{1}

$x^{1}$

x^{1}

$x^{1}$

Step 5

Simplify.

x

$x$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$