Formelblad
Matematik 1
Matematik 2
Matematik 3
Matematik 4
Matematik 5
Matematik 1
Matematik 2
Matematik 3
Matematik 4
Matematik 5
1
Ma1
2
Ma2
3
Ma3
4
Ma4
5
Ma5
Hem
Potenser
Potenser
Formler från Matematik 1
Potenser
Ma1
Multiplikation
a
x
⋅
a
y
=
a
x
+
y
a^x \cdot a^y = a^{x+y}
a
x
⋅
a
y
=
a
x
+
y
Ma1
Division
a
x
a
y
=
a
x
−
y
\frac{a^x}{a^y} = a^{x-y}
a
y
a
x
=
a
x
−
y
Ma1
Potens av potens
(
a
x
)
y
=
a
x
y
(a^x)^y = a^{xy}
(
a
x
)
y
=
a
x
y
Ma1
Negativ exponent
a
−
x
=
1
a
x
a^{-x} = \frac{1}{a^x}
a
−
x
=
a
x
1
Ma1
Produkt
a
x
⋅
b
x
=
(
a
b
)
x
a^x \cdot b^x = (ab)^x
a
x
⋅
b
x
=
(
ab
)
x
Ma1
Kvot
a
x
b
x
=
(
a
b
)
x
\frac{a^x}{b^x} = \left(\frac{a}{b}\right)^x
b
x
a
x
=
(
b
a
)
x
Ma1
n-te roten
a
1
n
=
a
n
a^{\frac{1}{n}} = \sqrt[n]{a}
a
n
1
=
n
a
Ma1
Noll exponent
a
0
=
1
a^0 = 1
a
0
=
1