Simplify (2^53^4)/(2^73^2)

$\frac{2^{5} \cdot 3^{4}}{2^{7} \cdot 3^{2}}$

Step 1

Cancel the common factor of $2^{5}$ and $2^{7}$ .

Factor $2^{5}$ out of $2^{5} \cdot 3^{4}$ .

$\frac{2^{5} (3^{4})}{2^{7} \cdot 3^{2}}$

Cancel the common factors.

Factor $2^{5}$ out of $2^{7} \cdot 3^{2}$ .

$\frac{2^{5} (3^{4})}{2^{5} (2^{2} \cdot 3^{2})}$

Cancel the common factor.

$\frac{2^{5} \cdot 3^{4}}{2^{5} (2^{2} \cdot 3^{2})}$

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $3^{4}$ and $3^{2}$ .

Factor $3^{2}$ out of $3^{4}$ .

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

Cancel the common factors.

Factor $3^{2}$ out of $2^{2} \cdot 3^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Evaluate the exponents.

Raise $3$ to the power of $2$ .

$\frac{9}{2^{2}}$

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

$\frac{9}{4}$

$\frac{9}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$

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