Simplify (3^83^4)/(3^23^8)

$\frac{3^{8} \cdot 3^{4}}{3^{2} \cdot 3^{8}}$

Multiply $3^{8}$ by $3^{4}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3^{8 + 4}}{3^{2} \cdot 3^{8}}$

Add $8$ and $4$ .

$\frac{3^{12}}{3^{2} \cdot 3^{8}}$

Multiply $3^{2}$ by $3^{8}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3^{12}}{3^{2 + 8}}$

Add $2$ and $8$ .

$\frac{3^{12}}{3^{10}}$

Cancel the common factor of $3^{12}$ and $3^{10}$ .

Factor $3^{10}$ out of $3^{12}$ .

$\frac{3^{10} \cdot 3^{2}}{3^{10}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{3^{10} \cdot 3^{2}}{3^{10} \cdot 1}$

Cancel the common factor.

$\frac{3^{10} \cdot 3^{2}}{3^{10} \cdot 1}$

Rewrite the expression.

$\frac{3^{2}}{1}$

Divide $3^{2}$ by $1$ .

$3^{2}$

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

$9$

Simplify (3^8*3^4)/(3^2*3^8)