Basic Math Examples

${(x \frac{2}{5})}^{5}$

Step 1

Combine $x$ and $\frac{2}{5}$ .

${(\frac{x \cdot 2}{5})}^{5}$

Step 2

Move $2$ to the left of $x$ .

${(\frac{2 \cdot x}{5})}^{5}$

Step 3

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 3.1

Apply the product rule to $\frac{2 x}{5}$ .

$\frac{{(2 x)}^{5}}{5^{5}}$

Step 3.2

Apply the product rule to $2 x$ .

$\frac{2^{5} x^{5}}{5^{5}}$

Step 4

Raise $2$ to the power of $5$ .

$\frac{32 x^{5}}{5^{5}}$

Step 5

Raise $5$ to the power of $5$ .

$\frac{32 x^{5}}{3125}$