Basic Math Examples

${(\frac{- 1}{5})}^{4}$

Step 1

Move the negative in front of the fraction.

${(- \frac{1}{5})}^{4}$

Step 2

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

Tap for more steps...

Step 2.1

Apply the product rule to $- \frac{1}{5}$ .

${(- 1)}^{4} {(\frac{1}{5})}^{4}$

Step 2.2

Apply the product rule to $\frac{1}{5}$ .

${(- 1)}^{4} \frac{1^{4}}{5^{4}}$

Step 3

Raise $- 1$ to the power of $4$ .

$1 \frac{1^{4}}{5^{4}}$

Step 4

Multiply $\frac{1^{4}}{5^{4}}$ by $1$ .

$\frac{1^{4}}{5^{4}}$

Step 5

One to any power is one.

$\frac{1}{5^{4}}$

Step 6

Raise $5$ to the power of $4$ .

$\frac{1}{625}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{625}$

Decimal Form:

$0.0016$