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Exponentiation is an operation involving two numbers: the base and the exponent or power. Learn how to write, manipulate, and apply exponentiation, and explore its origins and applications in mathematics and other fields.
Learn the rules and conventions for evaluating mathematical expressions with different operations and precedences. Find out how to use parentheses, exponents, roots, fractions, and other symbols of grouping to avoid ambiguity.
Learn the definitions, properties, and derivations of logarithmic identities, which are equations involving logarithms and exponentials. Find examples of trivial, cancellation, and change of base identities, as well as product, quotient, and power rules.
Learn what addition is, how it is performed and what properties it has. See different interpretations and visualizations of addition, from combining sets to extending lengths.
Learn about the exponential function, a mathematical function that relates the rate of change to the value of the function. See how it is defined, graphed, and extended to complex numbers and matrices, and how it relates to logarithms and trigonometric functions.
Arithmetic is the branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division. It also includes exponentiation, roots, and logarithms. Learn about the different kinds of numbers, numeral systems, and the origins of arithmetic.
Euler's formula is a mathematical formula that relates the trigonometric functions and the complex exponential function. It has many applications in complex analysis, physics, chemistry, and engineering, and can be proved using different methods such as differentiation, power series, or polar coordinates.
Learn about the basic and compound operations of elementary algebra, such as addition, subtraction, multiplication, division, exponentiation, and roots. See the notation, properties, and examples of algebraic operations.
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