Basic Math Examples

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

Step 1

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

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Step 1.1

Apply the product rule to $- \frac{1}{4}$ .

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

Step 1.2

Apply the product rule to $\frac{1}{4}$ .

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

Step 2

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

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

Step 3

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

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

Step 4

One to any power is one.

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

Step 5

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

$\frac{1}{256}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{256}$

Decimal Form:

$0.00390625$