Properties

Root Definition

The n-root of a value is equivalent to the value taken to power of the reciprocal of n (1/n).

Exponential Function

The general form of an exponential function. The variable x is called the base of the function and n indicates the degree of the function.

Zero Exponent

Any value (other than zero) taken to the power zero is always equal to 1. This includes negative numbers and fractions.

Negative Exponent

A negative exponent indicates the reciprocal of the value taken to the same degree.

Base of Zero (Positive)

Zero taken to a positive (n=0) power is zero.

Base of Zero (Negative)

Zero taken to a negative (n<0) power is not a real number.

Formulas

Multiplying Conjugates

Rationalizing Denominators

with 1 term:

with 2 terms:

Graphs

Exponent Base

e^x

Negative Exponent

e^-x

Base of One (b=1)

Base of 1.5

Base of 2

Base of 5

Base of 15

Base of 0.75

Base of 0.5

Base of 0.05

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