Formelsammlung zur Mathematik

5) Definition einer Potenz :
Potenz = 2³
←Exponent
Basis → 3
2
a
a
a
a
⎛
⎜
⎝
a
a
a
1
2
0
− n
a
b
1
2
1
3
2
4
=
=
=
⎞
⎟
⎠
=
=
=
=
a
a
1
− 2
3
⋅
1
a
=
a
a
a
a
n
4 2
⎛
⎜
⎝
b
a
⎞
⎟
⎠
2
6) Übereinstimmend in Basis (B) oder Exponent (E)
- B E B u. E
Addieren - - - b b
b
x ⋅ a + y ⋅a
= ( x + y)
⋅a
Subtrahieren - - - b
b
b
x ⋅ a − y ⋅ a = ( x − y)
⋅ a
Multiplizieren - b c b + c
a
⋅ a
Dividieren - b
a ( b − c )
Potenzieren b c b ⋅c
( )
7) Parabeln:
y= ax²+ bx + c
a = FORM
b = RECHTS/LINKS (auch Höhe)
c = OBEN/UNTEN
a
=
a
a
c
=
=
a
a
b b b
a ⋅ c = ( a⋅c)
a
c
b
b
a
b
⋅ a
b
=
= ( a ⋅ a )
b
b
⎛ a ⎞ a
= ⎜ ⎟
= 1 b
⎝ c ⎠ a
b
a
b + b
= ( a
=
2
)
a
b
2 b