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Questions and Answers
Apa yang dimaksud dengan eksponensiasi?
Apa yang dimaksud dengan eksponensiasi?
Apa yang dimaksud dengan notasi a^n?
Apa yang dimaksud dengan notasi a^n?
Apa yang dimaksud dengan sifat Product of Powers?
Apa yang dimaksud dengan sifat Product of Powers?
Apa yang dimaksud dengan a^0?
Apa yang dimaksud dengan a^0?
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Apa yang dimaksud dengan a^(-n)?
Apa yang dimaksud dengan a^(-n)?
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Dalam apa saja eksponensiasi digunakan?
Dalam apa saja eksponensiasi digunakan?
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Apa yang dimaksud dengan a^(1/2)?
Apa yang dimaksud dengan a^(1/2)?
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Study Notes
Exponentiation
Exponentiation is a mathematical operation that represents repeated multiplication of a number by itself.
Notation
- The exponentiation operation is denoted by a superscript number, called the exponent or power.
- The number being multiplied is called the base.
- The notation is:
a^n, whereais the base andnis the exponent.
Properties
-
Product of Powers:
a^n × a^m = a^(n+m) -
Power of a Product:
(a × b)^n = a^n × b^n -
Power of a Power:
(a^n)^m = a^(n×m) -
Zero Exponent:
a^0 = 1(except for0^0, which is undefined) -
Negative Exponent:
a^(-n) = 1/a^n
Rules
-
Exponentiation by a Whole Number:
a^n = a × a × ... × a(n times) -
Exponentiation by a Fraction:
a^(m/n) = root(n)(a^m) -
Exponentiation by a Negative Number:
a^(-n) = 1/a^n
Applications
- Exponentiation is used in many mathematical and scientific applications, such as:
- Algebra
- Geometry
- Trigonometry
- Calculus
- Physics
- Engineering
- Computer Science
Special Cases
-
Square:
a^2 = a × a -
Cube:
a^3 = a × a × a -
Square Root:
a^(1/2) = root(2)(a) -
Cube Root:
a^(1/3) = root(3)(a)
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Description
Learn about the notation, properties, and rules of exponentiation, including product of powers, power of a product, and power of a power. Explore its applications in various mathematical and scientific fields.
