Simplify (12^730^5)/(25^28^5*27^4)

$\frac{12^{7} \cdot 30^{5}}{25^{2} \cdot 8^{5} \cdot 27^{4}}$

Simplify the numerator.

Raise $12$ to the power of $7$ .

$\frac{35831808 \cdot 30^{5}}{25^{2} \cdot 8^{5} \cdot 27^{4}}$

Raise $30$ to the power of $5$ .

$\frac{35831808 \cdot 24300000}{25^{2} \cdot 8^{5} \cdot 27^{4}}$

Simplify the denominator.

Raise $25$ to the power of $2$ .

$\frac{35831808 \cdot 24300000}{625 \cdot 8^{5} \cdot 27^{4}}$

Raise $8$ to the power of $5$ .

$\frac{35831808 \cdot 24300000}{625 \cdot 32768 \cdot 27^{4}}$

Raise $27$ to the power of $4$ .

$\frac{35831808 \cdot 24300000}{625 \cdot 32768 \cdot 531441}$

Combine exponents.

Multiply $625$ by $32768$ .

$\frac{35831808 \cdot 24300000}{20480000 \cdot 531441}$

Multiply $20480000$ by $531441$ .

$\frac{35831808 \cdot 24300000}{10883911680000}$

Simplify the expression.

Multiply $35831808$ by $24300000$ .

$\frac{870712934400000}{10883911680000}$

Divide $870712934400000$ by $10883911680000$ .

$80$

Simplify (12^7*30^5)/(25^2*8^5*27^4)