Exponent Rules and Applications

This video tutorial explains the power to a power rule and the power of a product rule for exponents. It provides examples to demonstrate how these rules work, including writing expressions in expanded form and applying the rules to simplify them. The tutorial also includes practice examples to reinforce understanding of these exponent rules.

What is the main focus of this video tutorial?

• Power to a power and power of a product rules

• Exponentiation of zero

• Division of exponents

• Addition and subtraction of exponents

In the power to a power rule, what operation is performed between the outside and inside exponents?

• Addition

• Subtraction

• Division

• Multiplication

When applying the power to a power rule to 4 squared used as a factor three times, what is the resulting exponent?

• 8

• 9

• 4

• 6

In the power of a product rule, what happens to the outside exponent?

• It is divided by the number of factors

• It is added to the inside exponent

• It is subtracted from the inside exponent

• It is distributed to each factor inside the parentheses

What is the result of applying the power of a product rule to (2x^3)^4?

• 2^4 x^7

• 2^4 x^12

• 2^3 x^12

• 2^3 x^9

What is the final result of 2 to the fourth power?

• 16

• 12

• 20

• 8

In the practice example, what is the result of 3 to the power of 3 times 5?

• 3^8

• 3^10

• 3^12

• 3^15

What is the exponent of x in the expression x^(6*4)?

• 28

• 24

• 20

• 18

In the expression 5 squared, what is the numerical result?

• 10

• 15

• 25

• 20

What is the final expression for a^8 times 2?

• a^10

• a^12

• a^14

• a^16