Evaluate (54^3125^28^2)/(6^3*30^6)

$\frac{54^{3} \cdot 125^{2} \cdot 8^{2}}{6^{3} \cdot 30^{6}}$

Simplify the numerator.

Raise $54$ to the power of $3$ .

$\frac{157464 \cdot 125^{2} \cdot 8^{2}}{6^{3} \cdot 30^{6}}$

Raise $125$ to the power of $2$ .

$\frac{157464 \cdot 15625 \cdot 8^{2}}{6^{3} \cdot 30^{6}}$

Raise $8$ to the power of $2$ .

$\frac{157464 \cdot 15625 \cdot 64}{6^{3} \cdot 30^{6}}$

Combine exponents.

Multiply $157464$ by $15625$ .

$\frac{2460375000 \cdot 64}{6^{3} \cdot 30^{6}}$

Multiply $2460375000$ by $64$ .

$\frac{157464000000}{6^{3} \cdot 30^{6}}$

Simplify the denominator.

Raise $6$ to the power of $3$ .

$\frac{157464000000}{216 \cdot 30^{6}}$

Raise $30$ to the power of $6$ .

$\frac{157464000000}{216 \cdot 729000000}$

Simplify the expression.

Multiply $216$ by $729000000$ .

$\frac{157464000000}{157464000000}$

Divide $157464000000$ by $157464000000$ .

$1$

Evaluate (54^3*125^2*8^2)/(6^3*30^6)