Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What is the value of 2^3 × 2^5?
What is the value of 2^3 × 2^5?
- 64
- 128 (correct)
- 32
- 256
If x^(-2) = 1/16, what is the value of x?
If x^(-2) = 1/16, what is the value of x?
- 1/2
- 1/4
- 2 (correct)
- 1/8
What is the value of (3^2)^4?
What is the value of (3^2)^4?
- 531441
- 729
- 6561 (correct)
- 81
If a^2 = 16, what is the value of a^5?
If a^2 = 16, what is the value of a^5?
Signup and view all the answers
What is the value of (2^3)^(-2) × 2^5?
What is the value of (2^3)^(-2) × 2^5?
Signup and view all the answers
What is the value of (5^2)^3?
What is the value of (5^2)^3?
Signup and view all the answers
If x^3 = 27, what is the value of x^(3/2)?
If x^3 = 27, what is the value of x^(3/2)?
Signup and view all the answers
What is the value of (2^(-3))^(-2)?
What is the value of (2^(-3))^(-2)?
Signup and view all the answers
If a^3 = 64, what is the value of a^(5/3)?
If a^3 = 64, what is the value of a^(5/3)?
Signup and view all the answers
What is the value of (3^2) × (3^(-3))?
What is the value of (3^2) × (3^(-3))?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Exponents and Powers
- 2^3 × 2^5 = 2^(3+5) = 2^8
Solving for x in x^(-2) = 1/16
- x^(-2) = 1/16 => x^2 = 16 => x = ±4
Powers of Powers
- (3^2)^4 = 3^(2×4) = 3^8
Solving for a in a^2 = 16
- a^2 = 16 => a = ±4 => a^5 = (±4)^5 = ±1024
Simplifying Expressions
- (2^3)^(-2) × 2^5 = 2^(-3×2) × 2^5 = 2^(-6) × 2^5 = 2^(-1) = 1/2
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
