Civil Engineering Reference
In-Depth Information
2.1.2 Rechenregeln
Potenzen
0
a
=
1
( )
n
nn
ab
⋅
= ⋅
ab
mn mn
+
aa a
⋅
=
()
n
m
m n
⋅
a
=
a
1
−
n
a
=
n
a
m
a
mn
−
=
a
n
a
a
n
n
⎛⎞
=
⎜
⎝⎠
a
b
n
b
ab
( )
(
)
( )( )
( )
( )
2
2
2
+
= + ⋅ ⋅ +
a 2abb
2
2
2
ab
−
= − ⋅ ⋅ +
a 2abb
2
2
abab a b
+⋅ − = −
3
3
2
2
3
ab
+
= + ⋅ ⋅ + ⋅ ⋅ +
a 3ab3ab b
3
3
2
2
3
ab
−
= − ⋅ ⋅ + ⋅ ⋅ −
a 3ab3ab b
Wurzeln
1
n
a
=
a
n
n
n
a
a
=
m
n
m
a
=
a
n
n mn
⋅
m
a
=
a
n
n
n
ab
⋅
= ⋅
a b
n
a
a
=
n
n
b
b
1
n
1
1
−
==
a
n
a
n
a
n
m
n m
⋅
m
n
a
=
a
=
a
