Basic Math Examples

{(\frac{1}{100})}^{\frac{1}{2}}

${(\frac{1}{100})}^{\frac{1}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to

\frac{1}{100}

$\frac{1}{100}$ .

\frac{1^{\frac{1}{2}}}{100^{\frac{1}{2}}}

$\frac{1^{\frac{1}{2}}}{100^{\frac{1}{2}}}$

Step 1.2

One to any power is one.

\frac{1}{100^{\frac{1}{2}}}

$\frac{1}{100^{\frac{1}{2}}}$

\frac{1}{100^{\frac{1}{2}}}

$\frac{1}{100^{\frac{1}{2}}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite

100

$100$ as

10^{2}

$10^{2}$ .

\frac{1}{{(10^{2})}^{\frac{1}{2}}}

$\frac{1}{{(10^{2})}^{\frac{1}{2}}}$

Step 2.2

Apply the power rule and multiply exponents,

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

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

\frac{1}{10^{2 (\frac{1}{2})}}

$\frac{1}{10^{2 (\frac{1}{2})}}$

Step 2.3

Cancel the common factor of

2

$2$ .

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Step 2.3.1

Cancel the common factor.

$\frac{1}{10^{2 (\frac{1}{2})}}$

Step 2.3.2

Rewrite the expression.

$\frac{1}{10^{1}}$

$\frac{1}{10^{1}}$

Step 2.4

Evaluate the exponent.

$\frac{1}{10}$

$\frac{1}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$

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