Search for tag: "exponent"

Simplifying a product of radical expressions: Multivariate

The combining of like factors from two radicals into one and then the simplification of the result.

From  Tom Grant 9 plays 0  

Simplifying a product of radical expressions: Univariate

A short demonstration of multiplying and then reducing the result when presented with the product of two radical expressions.

From  Tom Grant 8 plays 0  

Solving an exponential equation by finding common bases: Linear exponents

Shows how to create common bases so that then the exponents can be set equal to each other and that equation can be solved.

From  Tom Grant 22 plays 0  

Simplifying a radical expression with an odd exponent

Shows how to separate out the persct square so they can become whole numbers or expression leaving the remaining factors under the square root.

From  Tom Grant 18 plays 0  

Rational exponents: Quotient Rule

Demonstrates how the quotient rule for exponents is applied the same way to rational exponents.

From  Tom Grant 14 plays 0  

Rational exponents: Product rule

A simple demonstration of how the product rule forexponents still applies when the exponents are fractions

From  Tom Grant 12 plays 0  

Rational exponents: Unit fraction exponents and bases involving signs

Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood.

From  Tom Grant 22 plays 0  

Complex fraction with negative exponents: Problem type 2

This demonstrates how to transform variables with negative exponents into corresponding reciprocal fractions, and then proceed to simplify the resulting complex fraction by multiplying all terms by…

From  Tom Grant 11 plays 0  

Dividing rational expressions involving multivariate monomials

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

From  Tom Grant 5 plays 0  

Quotient rule with negative exponents: Problem type 2

A multi-variable fraction that is reduced by applying the quotient rule and the definition of a negative exponent.

From  Tom Grant 4 plays 0  

Quotient rule with negative exponents: Problem type 1

A qucik example of applying the qoutient rule for exponents and the definition of a negative exponent.

From  Tom Grant 8 plays 0  

Product Rule witih negative exponents

A multil-variable example where we can gather together like factors and then multiply them as numbers or by adding their exponents. If any negative exponents occur, then the definition of a negative…

From  Tom Grant 8 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Evaluating an expression with a negative exponent: Positive fraction base

Two examples are shown with negative exponents. The reciprocal is produced first before applying the exponent to the numerator and denominator in each example.

From  Tom Grant 11 plays 0  

Power and quotient rules with positive exponents

A simplification of a fraction with products and exponents in parentheses raised to an external power

From  Tom Grant 7 plays 0  

Quotient of expressions involving exponents

Two bases with exponents divided by the same bases with different exponents are presented and simplified using the quotient rule. The negative exponent definition is also discussed and applied.

From  Tom Grant 4 plays 0