Simplify ((3(6))/(17-5))^4

${(\frac{3 (6)}{17 - 5})}^{4}$

Simplify the expression.

Multiply $3$ by $6$ .

${(\frac{18}{17 - 5})}^{4}$

Subtract $5$ from $17$ .

${(\frac{18}{12})}^{4}$

${(\frac{18}{12})}^{4}$

Cancel the common factor of $18$ and $12$ .

Factor $6$ out of $18$ .

${(\frac{6 (3)}{12})}^{4}$

Cancel the common factors.

Factor $6$ out of $12$ .

${(\frac{6 \cdot 3}{6 \cdot 2})}^{4}$

Cancel the common factor.

${(\frac{6 \cdot 3}{6 \cdot 2})}^{4}$

Rewrite the expression.

${(\frac{3}{2})}^{4}$

${(\frac{3}{2})}^{4}$

${(\frac{3}{2})}^{4}$

Simplify the expression.

Apply the product rule to $\frac{3}{2}$ .

$\frac{3^{4}}{2^{4}}$

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

$\frac{81}{2^{4}}$

Raise $2$ to the power of $4$ .

$\frac{81}{16}$

$\frac{81}{16}$

The result can be shown in multiple forms.

Exact Form:

$\frac{81}{16}$

Decimal Form:

$5.0625$

Mixed Number Form:

$5 \frac{1}{16}$

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