Search for tag: "exponents"

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 9 plays 0  

Simplifying a radical expression with an even exponent

Demonstrats how to free all perfect squar in a radical expression so they are whole.

From  Tom Grant 6 plays 0  

Rational exponents: Quotient Rule

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

From  Tom Grant 8 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 10 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 12 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 9 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  

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 6 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  

Introduction to the quotient rule for exponents

A demo that approaches the given expression and its simplification by writing out the meaning of the exponents as muliplication, then reducing like factors to arrive at a simpler result

From  Tom Grant 10 plays 0  

Power and product rules with positive exponents

A short review of these two rules and then an application of them to two multi-factor expressions.

From  Tom Grant 8 plays 0  

Power rules with positive exponents: Multivariate quotients

A quick example of distributing an external exponents to all factors in a rational expression

From  Tom Grant 5 plays 0  

Power rules with positive exponents: Multivariate products

An example of how we distribute an exponent outside of parentheses to all factors within.

From  Tom Grant 7 plays 0  

Introduction to the power of a power rule of exponents

A short example of how the power rule works.

From  Tom Grant 8 plays 0