To calculate 27 raised to the power of 13, we start with the base number 27 and multiply it by itself 12 more times. This means:
- 271 = 27
- 272 = 729
- 273 = 19,713
- 274 = 531,441
- 275 = 14,348,907
- 276 = 387,420,489
- 277 = 10,034,588,979
- 278 = 271,828,180,045
- 279 = 7,625,597,484,987
- 2710 = 205,891,132,094,649
- 2711 = 5,498,329,109,308,320
- 2712 = 148,035,889,871,744,000
- 2713 = 3,986,022,564,520,171,000
Thus, 27 raised to the power of 13 equals 3,986,022,564,520,171,000.
In summary, exponentiation involves repeatedly multiplying the base number by itself, which escalates the value very quickly as the exponent increases. This calculation illustrates the expansive nature of the exponential function.