3^14/27^4 = ?

[math_celebrity]

3^14/27^4 = ?

Understand that 27 = 3^3. Rewriting this, we have:
3^14/(3^3)^4

Exponent identity states (a^b)^c = a^bc, so we have:
3^14/3^12

Simplifying, we have:
3^(14 - 12) = 3^2 = 9