True or false? -Any non-zero number raised to zero is one. Thanks

Question

1140 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-27T16:17:25

True.

Note:

#oo# is not a number

Answer 2 · 2017-11-27T16:39:17

Of cource, it's true!

For any given #a≠0#, #a^0=1# by definition.

See what happens if #a^0≠1#.
For example, if #10^0# were equals to #2#, both of the following equation would be true. This is a contradiction.

#10^2=10*10=100#
#10^2=10^(2+0)=10^2*10^0=100*2=200#

Therefore, we have to define #a^0=1# to avoid such situation.