Simplify expressions with exponents

The video tutorial explains the concept of monomials and the rules of exponents when multiplying variables. It emphasizes the importance of having the same base to apply these rules and provides a review of basic exponent concepts. The tutorial demonstrates how to multiply variables with exponents by adding the exponents when the bases are the same, resulting in simplified expressions.

What is a monomial?

• A sum of two or more terms

• A variable with a negative exponent

• A fraction with variables in the denominator

• A number or a product of numbers and variables with non-negative integer exponents

When can you add the exponents of two terms?

• When the terms have the same base

• When the terms are subtracted

• When the terms are added together

• When the terms have different bases

What is the exponent of a variable if no exponent is shown?

• One

• Two

• Zero

• Negative one

How do you simplify y^2 * y^1?

• y^2

• y^4

• y^3

• y^1

What is the result of multiplying z^1 by z^2?

• z^4

• z^2

• z^1

• z^3