How to use the rules of exponents to simplify exponential expressions.
How to understand the correlation between radicals and fractional exponents.
How to simplify an expression with rational exponents.
How to evaluate a fractional exponent two ways.
How to multiply radicals together when they are different roots.
How to use the rational roots theorem.
How to rationalize the denominator with a higher root.
How to multiply radicals of the same root together.
How to use rational exponents to simplify higher power and indexed radicals.
How to solve quadratic equations using square roots.
How to know when a negative coefficient is associated with power.
How to interpret exponential expressions.
How to know when to include a plus and minus on a square root problem.
How to know when to include a absolute value when simplifying a square root.
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.
How to define factorial expressions used in the binomial theorem.
How to factor ?ugly? expressions.
How to solve an equation with a square root.
How to use the discriminant to know the number and type of solutions to a quadratic.
How to define an exponential function.