What is the power of power property of exponents

The video tutorial explains the power of power rule, which states that when an exponent is raised to another power, the exponents should be multiplied. This is often confused with the product rule, where exponents are added when multiplying bases. The tutorial uses the example of 3 squared cubed to demonstrate the rule, showing that it results in 3 to the sixth power. The calculation is broken down step-by-step to clarify the concept, emphasizing the importance of multiplying exponents when a power is raised to another power.

What is the key operation performed when an exponent is raised to another power?

• Addition

• Division

• Subtraction

• Multiplication

How does the power of a power rule differ from the product rule?

• Both rules involve adding exponents.

• Both rules involve multiplying exponents.

• The power of a power rule involves multiplying exponents, while the product rule involves adding them.

• The power of a power rule involves adding exponents, while the product rule involves multiplying them.

In the example of 3 squared cubed, what is the final exponent of 3?

• 2

• 3

• 5

• 6

What does 3 squared cubed simplify to when using the power of a power rule?

• 3 to the second power

• 3 to the third power

• 3 to the sixth power

• 3 to the ninth power

What should you remember when applying the power of a power rule?

• Always divide the exponents.

• Always subtract the exponents.

• Always add the exponents.

• Always multiply the exponents.