Multiplying Two Expressions
Multiplying the contents of two sets of parentheses demonstrates how algebra provides the tools to break the most complicated problem into simple, sequential steps.
Order of Radicals and Exponents, The
In algebraic expressions, radicals and exponents are completed first.
Treating the Numerator and the Denominator as a Package
Numerators and denominators are packages that cannot be broken up, and must first be simplified.
Examples showing the Order of Operations
The order of operations is demonstrated in three examples.
Dividing a Polynomial by a Monomial
Using the rules for exponents to divide a polynomial by a monomial.
Dividing Two Monomials with the Same Base
The rules for exponents includes the rule for dividing two monomials with the same base, as demonstrated here.
Changing Rational Exponent Form to Radical Notation
Writing an expression in radical notation is detailed using several examples
Standard Quadratic Trinomial Form
The standard form for any quadratic trinomial is ax2 bx c.
Writing Expressions in Their Simplest Form
A simplified expression is one in which each base is written only once, there are no negative exponents, and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying exp...
More than One Base Raised to a Negative Power
The rule for raising a power to a power is applied to an expression in which a monomial in parentheses is raised to a negative power.