Exploring Properties of Exponents: Power of Power & Parentheses

What happens to the exponents when two powers are multiplied?

• Exponents are multiplied

• Exponents are added

• Exponents are subtracted

• Exponents are divided

What is the result of raising a power to another power, such as (x^2)^3?

• x^8

• x^6

• x^5

• x^9

When exponentiating a base, does the base change?

• Yes, it changes based on the exponent

• No, the base remains the same

• Yes, it doubles

• Yes, it becomes zero

What is the result of 2^8 raised to the 3rd power?

• 2^16

• 2^24

• 2^32

• 2^11

Can the exponent be distributed over addition, such as (x+1)^2?

• Yes, it distributes like (x^2 + 1^2)

• No, it cannot be distributed

• Yes, it simplifies to x^2 + 2x + 1

• Yes, it becomes (x+1) * (x+1)

What is the correct expansion of (3x)^2?

• 6x

• 9x^2

• 3x^2

• 9x

If you have 3/x squared, how does the exponent distribute?

• 3 / x^2

• 3x^2

• 3^2 / x

• 3^2 / x^2

What is the result of (2a^2b^3)^3?

• 6a^5b^8

• 8a^8b^6

• 6a^6b^6

• 8a^6b^9

What does the expression (ABC)^4 simplify to?

• A^4 + B^4 + C^4

• A^4B^4C^4

• 4ABC

• A^3B^3C^3

What is the simplified form of 2 cubed in the expression (2a^2b^3)^3?

• 8

• 6

• 2^6

• 2^3