Power of a Power Property

The lesson explains the concept of raising a power to a power, using examples to illustrate the process. It introduces the power of a power property, which states that when raising a power to another power, you keep the base and multiply the exponents. The video provides multiple examples to demonstrate this rule and concludes with a summary of the key points.

What is the result of expanding the expression (X^2)^4?

• X^6

• X^8

• X^12

• X^16

Which of the following expressions is equivalent to (2^3)^2?

• 2^5

• 2^6

• 2^9

• 2^12

What does the power of a power property state?

• Divide the exponents and change the base

• Multiply the exponents and keep the base

• Subtract the exponents and change the base

• Add the exponents and keep the base

How would you simplify the expression (X^4)^6 using the power of a power property?

• X^30

• X^24

• X^10

• X^20

What is the simplified form of (-3^2)^7?

• -3^21

• -3^14

• -3^12

• -3^9