Simplifying Complex Expressions
Applying the rules for exponents to simplifying more complex expressions.
Simplifying An Expression Using Many Rules
Practice applying the rules for exponents to simplifying complex expressions.
Simplifying Expressions with Negative Exponents
Another expression is reduced to its simplest form, demonstrating the rule for dividing two monomials with the same base.
Examples of Simplifying Expressions Written in Parentheses
Using more than one of the rules for exponents to simplify expressions written with parentheses.
Factor 10b2c4d - 6b3c4d2
Practice factoring: 10b2c4d - 6b3c4d2
Factor 21a5b7 – 7a4b6c
Practice factoring: 2la5b7 — 7a4b6c
Factor 27x10y3z15 - 9x9y3x9
Practice factoring: 27x10y3z15 - 9x9y3z9
Negative Exponents in the Denominator
Simplifying an expression with a negative exponent in the denominator, and a formula that makes it easier.
Negative Exponents: Multiplication Involving Negative Exponents
This clip explains negative exponents and how to deal with them. "Think of the whole business as a fraction with a denominator of 1," the clip states. "Then, to change the sign of the exponent, just invert the fraction." The clip notes that, "
this...
Negative Exponents: Expanded Notation and Negative Exponents
This clip explains the use of negative exponents in expanded notation as a way of getting rid of fractions. As an example, the clip states that, "
7 times 1 over 10 becomes 7 times 10 to the power of negative 1. 8 times 1 over 10 to the power of 2 ...