23³·18⁶=?

To compute \(23^3 \cdot 18^6\), we can evaluate each part separately.

1. Calculate \(23^3\): \[ 23^3 = 23 \times 23 \times 23 = 529 \times 23 = 12167 \]

2. Calculate \(18^6\): \[ 18^6 = (18^2)^3 = 324^3 \] First, find \(18^2\): \[ 18^2 = 324 \] Next, \(324^3 = 324 \times 324 \times 324\). Calculating that could be tedious, so we can use a calculator or break it down more:

   \(324^2 = 104976\), then, \[ 324^3 = 104976 \times 324 = 34012224 \]

3. Now multiply both results: \[ 23^3 \cdot 18^6 = 12167 \cdot 34012224 \]

Calculating this product, \[ 12167 \cdot 34012224 \approx 414124960488 \]

Thus, \[ 23^3 \cdot 18^6 = 414124960488 \]