N^k Growth Visualizer

Base Value (N)
Adjust the base value N for the N^k calculation
5
Maximum Exponent (k)
Adjust the maximum exponent k to display
9
N^k Growth (Linear Scale)
Visualization of 5^k as k increases from 0 to 9
N^k Values Table
Numerical values of 5^k for different k
k5^kCumulative Sum
Understanding N^k Growth

This visualization demonstrates how quickly values grow in an exponential function N^k. When N=5, the values increase dramatically as k increases.

In the context of the example you shared, when there are N=5 tools available and k tool calls are needed, the number of possible sequences is 5^k.

For example:

  • If task needs 1 call: 5^1 = 5 possible sequences
  • If task needs 2 calls: 5^2 = 25 possible sequences
  • If task needs 3 call: 5^3 = 125 possible sequences
  • If task needs 4 call: 5^4 = 625 possible sequences

Total sequences for one task (up to 4 calls): 780