Any non-zero number to the power of 0 is equal to 1.

A negative exponent indicates taking the reciprocal. Put a^n in the denominator.

When a fraction is used as the base, a negative exponent causes the fraction to "flip". This is equivalent to swapping the numerator and the denominator and then removing the negative sign.

When the bases are the same, add the exponents.

A product raised to a power applies the exponent to each factor.

When dividing with the same base, subtract the exponents.

A power raised to another power means multiply the exponents.

A product raised to a power applies the exponent to each factor.

A negative exponent with a fraction flips the fraction and makes the exponent positive.

A negative exponent means take the reciprocal of the expression with a positive exponent.

The reciprocal of a negative power equals the positive power.

An exponent of 1/n means taking the n-th root of the base.

The denominator n represents the root, and the numerator m represents the power.

Use the exponent rules and simplify the same way you would simplify numerical expressions

When using substitution, simplify the expression before substituting

When working with expressions involving radicals, simplify by changing the expression into exponential form and applying the exponent rules

General equation: f(x) = bx where b≠0,1

First differences are related by multiplication Second differences are not constant

The function increases rapidly as x increases. In the case |b|>1

The function decreases rapidly as x increases. In the case |b|<1

Domain: { xER }

Range: { y>0| yER }