Basic Math Examples

$u \div \frac{5}{3 u}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$u \frac{3 u}{5}$

Step 2

Multiply $u \frac{3 u}{5}$ .

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Step 2.1

Combine $u$ and $\frac{3 u}{5}$ .

$\frac{u (3 u)}{5}$

Step 2.2

Raise $u$ to the power of $1$ .

$\frac{3 (u^{1} u)}{5}$

Step 2.3

Raise $u$ to the power of $1$ .

$\frac{3 (u^{1} u^{1})}{5}$

Step 2.4

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

$\frac{3 u^{1 + 1}}{5}$

Step 2.5

Add $1$ and $1$ .

$\frac{3 u^{2}}{5}$