Power

A power is an expression formed by raising a base to an exponent, such as bˣ. The exponent specifies repeated multiplication for positive integer exponents and extends this operation to other numbers.

Base (mathematics): The number or expression raised to an exponent in a power. It is the quantity whose repeated multiplication defines integer powers.
Laws of exponents: Identities governing products, quotients, and powers with exponents. They provide the basic rules for manipulating power expressions.
Exponential function: A function in which the variable appears in the exponent, commonly written f(x)=aˣ. A fixed base turns powers into a function that models proportional growth or decay.
Root (mathematics): A number that, when raised to a specified power, gives a particular value. Taking a root reverses a power operation when the chosen values permit it.
Exponentiation: The mathematical operation of raising one quantity to the power of another. Power expressions are the standard notation for this operation.
Zero exponent: The rule that a nonzero base raised to zero equals one. It extends integer powers while preserving the quotient law.
Scientific notation: A way to write numbers as a coefficient multiplied by a power of ten. Powers of ten make very large and very small quantities compact.
Logarithm: The exponent to which a specified base must be raised to produce a given number. A logarithm solves for the exponent when the base and resulting power are known.
Multiplication: An arithmetic operation that combines quantities into a product. Positive integer powers encode repeated multiplication of the base.
Negative exponent: An exponent below zero, defined for nonzero bases by taking a reciprocal. It turns division by a power into multiplication by its reciprocal.

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