Basic Math Examples

- 64^{\frac{1}{2}}

$- 64^{\frac{1}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite

64

$64$ as

8^{2}

$8^{2}$ .

- {(8^{2})}^{\frac{1}{2}}

$- {(8^{2})}^{\frac{1}{2}}$

Step 1.2

Apply the power rule and multiply exponents,

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

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

- 8^{2 (\frac{1}{2})}

$- 8^{2 (\frac{1}{2})}$

- 8^{2 (\frac{1}{2})}

$- 8^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Cancel the common factor.

$- 8^{2 (\frac{1}{2})}$

Step 2.2

Rewrite the expression.

$- 8^{1}$

$- 8^{1}$

Step 3

Simplify the expression.

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Step 3.1

Evaluate the exponent.

$- 1 \cdot 8$

Step 3.2

Multiply

$- 1$ by

$8$ .

$- 8$

$- 8$

$- 64^{\frac{1}{2}}$

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