Evaluate (7/4)^11

${(\frac{7}{4})}^{11}$

Step 1

Apply the product rule to $\frac{7}{4}$ .

$\frac{7^{11}}{4^{11}}$

Step 2

Raise $7$ to the power of $11$ .

$\frac{1977326743}{4^{11}}$

Step 3

Raise $4$ to the power of $11$ .

$\frac{1977326743}{4194304}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1977326743}{4194304}$

Decimal Form:

$471.43143248 \dots$

Mixed Number Form:

$471 \frac{1809559}{4194304}$

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