Simplify ((5^2)/4)^4

${(\frac{5^{2}}{4})}^{4}$

Step 1

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

${(\frac{25}{4})}^{4}$

Step 2

Apply the product rule to $\frac{25}{4}$ .

$\frac{25^{4}}{4^{4}}$

Step 3

Raise $25$ to the power of $4$ .

$\frac{390625}{4^{4}}$

Step 4

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

$\frac{390625}{256}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{390625}{256}$

Decimal Form:

$1525.87890625$

Mixed Number Form:

$1525 \frac{225}{256}$

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