11. Find the value of 3^2^1^0^-1^-2^-3



Rule | āύāĻŋāϝāĻŧāĻŽ


Any non-zero number⁰ = 1 (except 00, which is undefined/indeterminate in most contexts).
ā§Ļ āύāĻšā§‹ā§ąāĻž āϝāĻŋāϕ⧋āύ⧋ āϏāĻ‚āĻ–ā§āϝāĻžā§° āϘāĻžāϤ ā§Ļ = ā§§ (āĻ•āĻŋāĻ¨ā§āϤ⧁ 000^0 āϏāĻžāϧāĻžā§°āĻŖāϤ⧇ āĻ…āύāĻŋā§°ā§āϧāĻžā§°āĻŋāϤ (undefined) / āĻ…āύāĻŋāĻļā§āϚāĻŋāϤ (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 → āϏ⧋āρāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āĻŦāĻžāρāĻ“āĻĢāĻžāϞāϞ⧈

  • Any non-zero number⁰ = 1 → ā§Ļ āύāĻšā§‹ā§ąāĻž āϝāĻŋāϕ⧋āύ⧋ āϏāĻ‚āĻ–ā§āϝāĻžā§° āϘāĻžāϤ ā§Ļ = ā§§

  • 1^any number = 1 → ā§§-ā§° āϝāĻŋāϕ⧋āύ⧋ āϘāĻžāϤ = ā§§

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