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Showing results - 51 to 60 of 72
Monomials with Exponents Outside of Parentheses
02:07

Monomials with Exponents Outside of Parentheses

The rule for raising a power to a power is demonstrated in simplifying a monomial in which an exponent is outside parentheses.

Exponent of Zero
01:10

Exponent of Zero

Simplifying an expression with an exponent of zero.

Simplify first by Combining Like Terms
01:21

Simplify first by Combining Like Terms

Equations can sometimes be simplified to present the same information in a form that is easier to work with. Simplify whenever possible by combining like terms.

Denominator of a Simplified Expression Never Has Radicals, The
01:42

Denominator of a Simplified Expression Never Has Radicals, The

A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...

Dividing a Polynomial by a Monomial
02:23

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
01:09

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.

Equation That Has No Solution, An
01:34

Equation That Has No Solution, An

An equation is found to have no solution after using the least common denominator to get a quadratic equation.

Division with a Binomial in the Numerator
01:30

Division with a Binomial in the Numerator

Examples of simplifying radical expressions with division when numerators contains a binomial.

Changing Rational Exponent Form to Radical Notation
01:53

Changing Rational Exponent Form to Radical Notation

Writing an expression in radical notation is detailed using several examples

Estimating Radicals to Set a Safe Speed Limit
03:01

Estimating Radicals to Set a Safe Speed Limit

A practical problem involving setting a speed limit is solved that involves estimating radicals to find the value of an irrational solution.