Finite Math Examples

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

Step 1

Combine fractions.

Tap for more steps...

Step 1.1

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

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

Step 1.2

Simplify the expression.

Tap for more steps...

Step 1.2.1

Apply the product rule to $\frac{4}{5}$ .

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

Step 1.2.2

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

$\frac{256}{5^{4}} {(\frac{1}{5})}^{4 - 4}$

Step 1.2.3

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

$\frac{256}{625} {(\frac{1}{5})}^{4 - 4}$

Step 1.2.4

Subtract $4$ from $4$ .

$\frac{256}{625} {(\frac{1}{5})}^{0}$

Step 1.2.5

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

$\frac{256}{625} \cdot \frac{1^{0}}{5^{0}}$

$\frac{256}{625} \cdot \frac{1^{0}}{5^{0}}$

Step 1.3

Combine.

$\frac{256 \cdot 1^{0}}{625 \cdot 5^{0}}$

Step 1.4

Anything raised to $0$ is $1$ .

$\frac{256 \cdot 1}{625 \cdot 5^{0}}$

$\frac{256 \cdot 1}{625 \cdot 5^{0}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Rewrite $625$ as $5^{4}$ .

$\frac{256 \cdot 1}{5^{4} \cdot 5^{0}}$

Step 2.2

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

$\frac{256 \cdot 1}{5^{4 + 0}}$

Step 2.3

Add $4$ and $0$ .

$\frac{256 \cdot 1}{5^{4}}$

$\frac{256 \cdot 1}{5^{4}}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $256$ by $1$ .

$\frac{256}{5^{4}}$

Step 3.2

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

$\frac{256}{625}$

$\frac{256}{625}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{256}{625}$

Decimal Form:

$0.4096$

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