Evaluate (5/4)^4

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

Step 1

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

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

Step 2

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

$\frac{625}{4^{4}}$

Step 3

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

$\frac{625}{256}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{625}{256}$

Decimal Form:

$2.44140625$

Mixed Number Form:

$2 \frac{113}{256}$

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