Exponents and Their Properties

The video tutorial explains how to simplify expressions using the power property of exponents. It covers three examples: simplifying Z raised to the power of 12 times 6, A raised to the power of 5/2, and 4 raised to the power of 1/3 times 9. The tutorial demonstrates how to multiply exponents and simplify expressions step-by-step, emphasizing the importance of simplifying before multiplying.

What is the power property of exponents used for?

• To add exponents

• To multiply exponents

• To divide exponents

• To subtract exponents

What is the first step in simplifying an expression with exponents raised to another power?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

How do you simplify Z raised to the power of 12 raised to the power of 6?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

What is the simplified form of Z raised to the power of 12 times 6?

• Z to the power of 18

• Z to the power of 72

• Z cubed

• Z squared

What common factor is used to simplify the expression Z raised to the power of 12 times 6?

• 4

• 3

• 6

• 2

What is the simplified form of A raised to the power of 5/2 raised to the power of 1?

• A to the power of 2.5

• A to the power of 10

• A to the power of 1/2

• A to the power of 5

What is the result of multiplying 1/2 by 1 in the context of simplifying A raised to the power of 5/2?

• 1

• 1/2

• 5

• 2.5

What is the result of simplifying 4 raised to the power of 1/3 raised to the power of 9?

• 4 to the power of 27

• 4 to the power of 9

• 4 cubed

• 4 squared

What is the value of 4 cubed?

• 16

• 32

• 64

• 128

How many factors of 4 are multiplied to evaluate 4 cubed?

• Four

• Five

• Three

• Two