How to use the division property of exponents

The video tutorial explains the division property of exponents, which states that when dividing numbers with the same base, you subtract the exponents. The instructor provides a detailed explanation and demonstrates the property with an example problem, breaking it down step-by-step to show why the property works. The tutorial concludes by emphasizing the importance of having the same base for the property to apply.

What is the division property of exponents used for?

• To divide exponents when bases are different

• To multiply exponents when bases are different

• To subtract exponents when bases are the same

• To add exponents when bases are the same

Why does the division property of exponents work?

• Because any number divided by itself equals the exponent

• Because any number divided by itself equals one

• Because any number divided by itself equals zero

• Because any number divided by itself equals the base

What is the result of x^5 divided by x^3?

• x^15

• x^1

• x^2

• x^8

What must be true for the division property of exponents to be applied?

• The bases must be the same

• The exponents must be different

• The exponents must be the same

• The bases must be different

What is the simplified form of x^7 divided by x^4?

• x^28

• x^3

• x^1

• x^11