Basic Math Examples

$m^{\frac{1}{2}} \cdot \sqrt{m}$

Step 1

Multiply $m^{\frac{1}{2}} \sqrt{m}$ .

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Step 1.1

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

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

Step 1.2

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

$m^{\frac{1}{2} + \frac{1}{2}}$

Step 1.3

Combine the numerators over the common denominator.

$m^{\frac{1 + 1}{2}}$

Step 1.4

Add $1$ and $1$ .

$m^{\frac{2}{2}}$

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Cancel the common factor.

$m^{\frac{2}{2}}$

Step 1.5.2

Rewrite the expression.

$m^{1}$

Step 2

Simplify.

$m$