Algebra Examples

${(\frac{1}{5})}^{2} \cdot {(- 4)}^{3}$

Step 1

Simplify the expression.

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Step 1.1

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

$\frac{1^{2}}{5^{2}} \cdot {(- 4)}^{3}$

Step 1.2

One to any power is one.

$\frac{1}{5^{2}} \cdot {(- 4)}^{3}$

Step 1.3

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

$\frac{1}{25} \cdot {(- 4)}^{3}$

Step 1.4

Raise $- 4$ to the power of $3$ .

$\frac{1}{25} \cdot - 64$

$\frac{1}{25} \cdot - 64$

Step 2

Combine $\frac{1}{25}$ and $- 64$ .

$\frac{- 64}{25}$

Step 3

Move the negative in front of the fraction.

$- \frac{64}{25}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{64}{25}$

Decimal Form:

$- 2.56$

Mixed Number Form:

$- 2 \frac{14}{25}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$