11. Find the value of 3^2^1^0^-1^-2^-3
Rule | āύāĻŋāϝāĻŧāĻŽ
Any non-zero numberâ° = 1 (except 00, which is undefined/indeterminate in most contexts).
ā§Ļ āύāĻšā§ā§ąāĻž āϝāĻŋāĻā§āύ⧠āϏāĻāĻā§āϝāĻžā§° āĻāĻžāϤ ā§Ļ = ā§§ (āĻāĻŋāύā§āϤ⧠000^0 āϏāĻžāϧāĻžā§°āĻŖāϤ⧠āĻ
āύāĻŋā§°ā§āϧāĻžā§°āĻŋāϤ (undefined) / āĻ
āύāĻŋāĻļā§āĻāĻŋāϤ (indeterminate) āϧ⧰āĻž āĻšāϝāĻŧāĨ¤)
- (−2)−3 = non-zero value
- 0(non-zero) = 0
- 10 = 1
- 21 = 2
- 32 = 9
Ans = 9
Rule | āύāĻŋāϝāĻŧāĻŽ:
- Right to Left → āϏā§āĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āĻŦāĻžāĻāĻāĻĢāĻžāϞāϞā§
- Any non-zero numberâ° = 1 → ā§Ļ āύāĻšā§ā§ąāĻž āϝāĻŋāĻā§āύ⧠āϏāĻāĻā§āϝāĻžā§° āĻāĻžāϤ ā§Ļ = ā§§
- 1^any number = 1 → ā§§-ā§° āϝāĻŋāĻā§āύ⧠āĻāĻžāϤ = ā§§