Exploring the Properties of Exponents

This video provides a comprehensive introduction to exponents, covering basic rules for multiplication and division, handling negative exponents, and applying these rules to practice problems. It also explores advanced exponent rules and demonstrates how to convert between radicals and exponents. The video includes numerous examples to reinforce understanding and offers strategies for simplifying complex expressions.

What happens when you multiply x^3 by x^5?

• x^2

• x^0

• x^15

• x^8

How do you simplify x^3 divided by x^5?

• x^8

• 1/x^2

• x^-2

• x^2

If you have x^(-4) divided by x^(-7), what is the simplified form?

• x^3

• x^-3

• x^-11

• 1/x^3

What does x^0 equal?

• undefined

• x

• 1

• 0

What is the result of (x^2 y^3) * (x^3 y^4)?

• x^6 y^7

• x^5 y^7

• x^6 y^12

• x^5 y^12

What is the result of simplifying the expression (2^3 * 3^2)?

• 24

• 72

• 36

• 18

How do you simplify the expression (x^9 * x^3)?

• x^3

• x^12

• x^27

• x^6

If you have the expression 4^3 * 4^5, how do you correctly simplify it?

• 64^8

• 4^15

• 16^8

• 4^8

What is the cube root of 8x^6 simplified?

• 2x^3

• 4x^3

• 2x^2

• 4x^2

What is the fourth root of 16x^8?

• 2x^3

• 4x^2

• 4x^3

• 2x^2