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Exponents formulas
Exponents formulas
We found
8
formulas for exponents
Variables
a, b
→
Positive real numbers
m, n
→
Itegers
1.
Zero exponent
a
0
=
1
a^0=1
a
0
=
1
Exponents
2.
Multiplication rule
a
m
⋅
a
n
=
a
m
+
n
a^m \cdot a^n=a^{m+n}
a
m
⋅
a
n
=
a
m
+
n
Exponents
3.
Division Rule
a
m
a
n
=
a
m
−
n
\dfrac{a^m}{a^n}=a^{m-n}
a
n
a
m
=
a
m
−
n
Exponents
4.
Power of power rule
(
a
n
)
m
=
a
n
m
\left(a^n\right)^m=a^{nm}
(
a
n
)
m
=
a
nm
Exponents
5.
Negative exponent
a
−
n
=
1
a
n
a^{-n}=\dfrac{1}{a^n}
a
−
n
=
a
n
1
Exponents
6.
Negative exponent of a fraction
(
a
b
)
−
n
=
(
b
a
)
n
\left(\dfrac{a}{b}\right)^{-n} = \left(\dfrac{b}{a}\right)^n
(
b
a
)
−
n
=
(
a
b
)
n
Exponents
7.
Power of a product
(
a
b
)
n
=
a
n
b
n
\left(ab\right)^n=a^n b^n
(
ab
)
n
=
a
n
b
n
Exponents
8.
Power of a fraction
(
a
b
)
n
=
a
n
b
n
\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}
(
b
a
)
n
=
b
n
a
n
Exponents
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Factoring formulas
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Exponents formulas
Square roots formulas
Higher roots formulas
Logarithm
Set Identities
Complex Numbers
Logic
Equilateral triangle
Isoscales triangle
Right Triangle
Scalene Triangle
Rectangle
Square
Rhombus
Parallelogram
Cyclic Quadrilateral
Circle
Radians and Degrees
Most Important Formulas
Sum and difference formulas
Double angle formulas
Half-angle formulas
Multiple Angle Formulas
Sum to product
Product To Sum
Power of trigonometric functions
Two - dimensional coordinate system
Line in plane
Circle
Ellipse
Hyperbola
Limits of Functions
Differentiation rules
Differentiation Formulas
Derivatives of Composite Functions
Higher Order Derivatives
Integrals of Rational Functions
Integrals of Irrational Functions
Integrals of Trigonometric Functions
Integrals of exponential and logarithmic functions
Integrals of hyperbolic functions
Arithmetic series
Geometric series
Finite sums
Power series
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