17 terms

monomial

A number, variable, or product of a number and one or more variables.

constant

A monomial that is a real number.

zero exponent

Any nonzero number raised to the zero power is one.

negative exponent

For any real number, except zero, and any integer n, a^-n=1/a^n and 1/a^-n=a^n.

order of magnitude

The order of magnitude of a quantity is the number rounded to the nearest power of 10.

rational exponent

For any positive real number b and any integers m and n>1, b^m/n equals (nth root of b)^m or nth root of b^m.

cube root

If a^3=b, then a is the cube root of b.

nth root

If a^n=b for a positive integer n, then a is an nth root of b.

exponential equation

An equation in which the variables occur as exponents.

scientific notation

c x 10^n, where c must be less than 10 and greater than or equal to 1 and n is an integer.

exponential function

A function that can be described by an equation of the form y=a^x, where a>1 and cannot be zero.

exponential growth

When an initial amount increases by the same percentage over a given period.

exponential decay

When an initial amount decreases by the same percentage over a given period of time.

compound interest

A special application of exponential growth.

geometric sequence

A sequence in which each term after the first is found by multiplying the previous term by a constant r, called a common ratio.

common ratio

The ratio of successive terms of a geometric sequence.

recursive formula

Each term is formulated by one or more previous terms.