Simplifying a rational expression with exponents

The video tutorial covers the properties of exponents, focusing on the power of a product rule. It explains how power distributes over multiplication and division but not over addition and subtraction. The tutorial demonstrates simplifying expressions using these rules and reducing fractions. It also highlights common mistakes in calculations and how to correct them.

Which of the following operations allows exponents to be distributed across terms?

• Exponentiation

• Multiplication

• Addition

• Subtraction

When using the power of a product rule, what happens to the exponents of terms inside the parentheses?

• They are added together.

• They are distributed to each term.

• They remain unchanged.

• They are subtracted from each term.

What is the result of 2^3?

• 10

• 8

• 6

• 4

How do you simplify a fraction with exponents when dividing like bases?

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

• Divide the exponents.

What is the simplified form of 8/18?

• 4/9

• 2/9

• 1/2

• 3/4