Tetraatiolla merkitään erittäin suuria potenssiinkorotuksia:
4
2
=
2
2
2
2
=
2
[
2
(
2
2
)
]
=
2
(
2
4
)
=
2
16
=
65
,
536
{\displaystyle \,\!\ ^{4}2=2^{2^{2^{2}}}=2^{\left[2^{\left(2^{2}\right)}\right]}=2^{\left(2^{4}\right)}=2^{16}=65,\!536}
On huomattava, ettei potenssiinkorotus ole liitännäinen :
2
2
2
2
≠
[
(
2
2
)
2
]
2
=
2
2
⋅
2
⋅
2
=
256
{\displaystyle \,\!2^{2^{2^{2}}}\neq \left[{\left(2^{2}\right)}^{2}\right]^{2}=2^{2\cdot 2\cdot 2}=256}
x
{\displaystyle x}
2
x
{\displaystyle {}^{2}x}
3
x
{\displaystyle {}^{3}x}
4
x
{\displaystyle {}^{4}x}
1
1
1
1
2
4
16
65,536
3
27
7,625,597,484,987
exp
10
3
(
1.09902
)
{\displaystyle \exp _{10}^{3}(1.09902)}
4
256
exp
10
2
(
2.18788
)
{\displaystyle \exp _{10}^{2}(2.18788)}
exp
10
3
(
2.18726
)
{\displaystyle \exp _{10}^{3}(2.18726)}
5
3,125
exp
10
2
(
3.33931
)
{\displaystyle \exp _{10}^{2}(3.33931)}
exp
10
3
(
3.33928
)
{\displaystyle \exp _{10}^{3}(3.33928)}
6
46,656
exp
10
2
(
4.55997
)
{\displaystyle \exp _{10}^{2}(4.55997)}
exp
10
3
(
4.55997
)
{\displaystyle \exp _{10}^{3}(4.55997)}
7
823,543
exp
10
2
(
5.84259
)
{\displaystyle \exp _{10}^{2}(5.84259)}
exp
10
3
(
5.84259
)
{\displaystyle \exp _{10}^{3}(5.84259)}
8
16,777,216
exp
10
2
(
7.18045
)
{\displaystyle \exp _{10}^{2}(7.18045)}
exp
10
3
(
7.18045
)
{\displaystyle \exp _{10}^{3}(7.18045)}
9
387,420,489
exp
10
2
(
8.56784
)
{\displaystyle \exp _{10}^{2}(8.56784)}
exp
10
3
(
8.56784
)
{\displaystyle \exp _{10}^{3}(8.56784)}
10
10,000,000,000
exp
10
3
(
1
)
{\displaystyle \exp _{10}^{3}(1)}
exp
10
4
(
1
)
{\displaystyle \exp _{10}^{4}(1)}