Enhance Your Learning with Exponents and Powers Flash Cards for quick learning
A number that represents the power to which another number, called the base, is raised.
The number that is raised to a power.
The result of raising a base to an exponent.
When multiplying powers with the same base, add the exponents.
When dividing powers with the same base, subtract the exponents.
When raising a power to another power, multiply the exponents.
Any nonzero number raised to the power of zero is equal to 1.
A negative exponent indicates the reciprocal of the base raised to the positive exponent.
A way of expressing numbers that are too large or too small to be conveniently written in decimal form.
A pattern of growth where the quantity increases by a fixed percentage over a fixed time period.
A pattern of decay where the quantity decreases by a fixed percentage over a fixed time period.
Numbers that can be expressed as a product of a power of 10 and a decimal number greater than or equal to 1 and less than 10.
The symbol √ used to indicate the square root of a number.
An exponent that can be expressed as a fraction.
The inverse operation of exponentiation. It gives the power to which a base must be raised to obtain a given number.
A logarithm with base 10.
A logarithm with base e, where e is the mathematical constant approximately equal to 2.71828.
A formula used to evaluate logarithms with bases other than 10 or e.
Various properties and rules that can be used to simplify logarithmic expressions.
Equations in which the variable appears in the exponent.
Equations in which the variable appears inside a logarithm.
A formula used to model exponential growth: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
A formula used to model exponential decay: A = P(1 - r/n)^(nt), where A is the final amount, P is the initial amount, r is the decay rate, n is the number of times decay occurs per year, and t is the number of years.
The time it takes for half of a substance to decay or for the quantity to decrease by half.
Interest that is calculated on the initial principal and also on the accumulated interest of previous periods.
Interest that is compounded continuously, resulting in an exponential growth formula: A = Pe^(rt), where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the number of years.
A function of the form f(x) = a * b^x, where a and b are constants and b is the base of the exponential function.
A function of the form f(x) = a * b^(-x), where a and b are constants and b is the base of the exponential function.
A function of the form f(x) = a * b^x, where a and b are constants and b is greater than 1.
A statistical method used to model data that exhibits exponential growth or decay.
A forecasting technique that uses a weighted average of past observations to predict future values, with more weight given to recent observations.
A probability distribution that describes the time between events in a Poisson process, where events occur continuously and independently at a constant average rate.
The rate at which a quantity increases exponentially over time.
The rate at which a quantity decreases exponentially over time.
A measure of the efficiency of an algorithm, indicating that the running time of the algorithm increases exponentially with the size of the input.
A way of expressing a number as a product of a coefficient and a power of 10.
A statistical calculation used to analyze data trends by smoothing out fluctuations and highlighting long-term patterns.
The factor by which a quantity decreases exponentially over time.
The factor by which a quantity increases exponentially over time.
A mathematical function that describes the probability distribution of a continuous random variable.