Basic Math Examples

$\frac{4 v^{3} \cdot {(\sqrt{u})}^{2}}{1}$

Step 1

Divide $4 v^{3} \cdot {(\sqrt{u})}^{2}$ by $1$ .

$4 v^{3} \cdot {(\sqrt{u})}^{2}$

Step 2

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

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Step 2.1

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

$4 v^{3} \cdot {(u^{\frac{1}{2}})}^{2}$

Step 2.2

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

$4 v^{3} \cdot u^{\frac{1}{2} \cdot 2}$

Step 2.3

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

$4 v^{3} \cdot u^{\frac{2}{2}}$

Step 2.4

Cancel the common factor of $2$ .

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Step 2.4.1

Cancel the common factor.

$4 v^{3} \cdot u^{\frac{2}{2}}$

Step 2.4.2

Rewrite the expression.

$4 v^{3} \cdot u^{1}$

Step 2.5

Simplify.

$4 v^{3} \cdot u$

$4 v^{3} u$