Roots and Powers

Goal 20

Applies the laws involving positive integral exponents to zero and negative integral exponents.

What Is a Power?

How Do You Multiply Powers with the Same Base?

How Do You Divide Powers with the Same Base?

How Do You Evaluate a Power with Zero in the Exponent?

How Do You Evaluate a Power with a Negative Exponent?

Goal 21

Illustrates expressions with rational exponents.

How Do You Write the Nth Root of a as a Power?

Goal 22

Simplifies expressions with rational exponents.

How Do You Combine Rules for Roots and Powers to Solve a Problem?

Goal 23

Writes expressions with rational exponents as radicals and vice versa.

What Is the Connection between Squares and Square Roots?

How Do You Write the Nth Root of a to the Power of M as a Power?

Goal 24

Derives the laws of radicals.

How Do You Write a Square Root as a Power?

Goal 25

Simplifies radical expressions using the laws of radicals.

How Do You Multiply Nth Roots?

How Do You Divide Nth Roots?