Simplifying, Multiplying, and Dividing Rational Expressions

Front

What happens to the exponents when we divide powers with the same base?

Back

We subtract the exponents.

Front

What happens to the exponents when we multiply expressions with the same base?

Back

We add the exponents.

Front

Back

x = 2 and x = -5.

Front

Back

x = 0 and x = 3.

Front

What is a rational expression?

Back

A fraction where the numerator and the denominator are polynomials.

Front

How do you simplify a rational expression?

Back

Factor the numerator and denominator and cancel common factors.

Front

What is the first step in multiplying rational expressions?

Back

Factor all numerators and denominators.

Front

What is the rule for dividing rational expressions?

Back

Multiply by the reciprocal of the divisor.

Front

What is the domain of a rational expression?

Back

All real numbers except those that make the denominator zero.

Front

What does it mean to exclude values in rational expressions?

Back

It means identifying values that would cause division by zero.