Exploring the Power of a Power Rule

In this video, Mr. J explains how to find the power of a power, which involves multiplying exponents while keeping the base the same. He provides two examples: x^3 to the power of 2 and 2^2 to the power of 4, breaking down each step to demonstrate the process. The video concludes with a summary of the concept, emphasizing the importance of maintaining the base and multiplying the exponents.

What remains unchanged when finding the power of a power?

• The addition sign

• The exponent

• The base

• The multiplication sign

How do you calculate x to the power of a to the power of b?

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

In the expression x^a^b, what operation is performed between a and b?

• Division

• Addition

• Subtraction

• Multiplication

How do you simplify an expression with an exponent raised to another exponent?

• By adding the exponents

• By dividing the exponents

• By subtracting the exponents

• By multiplying the exponents

What is the result of x^3 squared?

• x^4

• x^5

• x^6

• x^9

How many times is x multiplied by itself in x^3 squared?

• 12 times

• 9 times

• 6 times

• 3 times

What does 2 squared to the power of 4 equal?

• 1024

• 16

• 64

• 256

How many 2 squared terms are multiplied together in 2 squared to the power of 4?

• 5

• 4

• 3

• 2

What is the final exponent when 2 squared is raised to the power of 4?

• 6

• 4

• 2

• 8

What is the base in the expression 2^2^4?

• 2

• 4

• 16

• 8