Search for tag: "rule"

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 23 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 8 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

Dividing rational expressions involving linear expressions

A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…

From  Tom Grant 6 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

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

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

Introduction to the power of a product rule of exponents

A short demo of this rule

From  Tom Grant 5 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

Product rule with positive exponents: Multivariate

A straightforward examplel of a simplification using the product rule for exponents.

From  Tom Grant 14 plays 0