0 power to 0 = 0 or 1? :)

Replies

• 

  jaspal rautela

  undefined.......
• 

  ErAnushka

  jaspal rautela

  undefined.......

  are you sure? 😕
• 

  jaspal rautela

  yes...
• 

  ErAnushka

  jaspal rautela

  yes...

  Okay 😀 Thanks 😀
• 

  Kaustubh Katdare

  Check this page - Q: What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree? | Ask a Mathematician / Ask a Physicist
• 

  ErAnushka

  The_Big_K

  Check this page - Q: What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree? | Ask a Mathematician / Ask a Physicist

  Okay 😀
• 

  vinod1993

  Obviously 0^0 is one. How?
  Let us assume x=0^0.
  So take logarithm on both sides,
  ln x= ln (0^0)
  Using logarithmic rules,
  ln x = 0*ln(0)
  So here we arrive at a conclusion, zero multiplied by infinity(indeterminate to be precise). It's zero, for those of you who argue on this let me try telling this how,
  0*ln0 can be written as lim(x->0+) sin(x)*lnx. Because at x=0, sinx=0
  sin(x)*lnx = lnx/cosec(x). So, if we apply l'hopital's rule twice we arrive at,
  lim(x->0+) {[cos(x).tan(x)]+[sin(x).sec^2(x)]} which is equal to zero.
  so that implies, ln x=0 => x=e^0=1.
  Therefore, 0^0 is one.! 😀
• 

  Abhishek Rawal

  Nice debatable question Anushka,
  0^0 can have two approaches.
  Read this :
  Q: What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree? | Ask a Mathematician / Ask a Physicist
  #-Link-Snipped-#
• 

  ErAnushka

  #-Link-Snipped-# True, thanks 😀
  
  #-Link-Snipped-# Yes, I read that already, as #-Link-Snipped-# said 😀
  
  Thank you guys 😀
• 

  zaveri

  any operation performed on zero alone yields zero
• 

  vinod1993

  zaveri

  any operation performed on zero alone yields zero

  Not applicable to all operations #-Link-Snipped-# since 0!=1. 😀
• 

  manishks

  0^0 is an indeterminate form. Its undefined. Its neither 0 nor 1.
  indeterminate forms include 0^0, 0/0, 1/∞, ∞ − ∞, ∞/∞, 0 × ∞, and ∞^0
  😀
• 

  vikaskumar11233

  0 to the power 0 neither gives you 0 nor 1 as a result. It is undefined.