Simplifying Expressions Using Exponents

The video tutorial explains how to simplify expressions with exponents, focusing on the quotient property. It begins with a basic example of simplifying y^3/y^5 by expanding and using the quotient property. The tutorial then demonstrates how to handle larger exponents, such as x^12/x^29, and concludes with a complex expression involving multiple variables, 15a^5b^7/3a^9b^6. Throughout, the importance of expressing results with positive exponents is emphasized.

What is the simplified form of y^3 divided by y^5?

• y^2

• y^8

• 1/y^2

• y^15

Using the quotient property, what is y^3 divided by y^5?

• y^15

• y^-2

• y^8

• y^2

How do you express y^-2 using positive exponents?

• y^0

• y^-2

• 1/y^2

• y^2

What is the result of x^12 divided by x^29 using the quotient property?

• x^17

• 1/x^17

• x^-17

• x^41

How do you express x^-17 using positive exponents?

• x^0

• 1/x^17

• x^17

• x^-17

What is the simplified form of 15a^5b^7 divided by 3a^9b^6?

• 5a^4b

• 5b/a^4

• 5a^4/b

• 5b^2/a^4

In the expression 15a^5b^7 divided by 3a^9b^6, what is the result of 15 divided by 3?

• 3

• 5

• 15

• 45

In the expression 15a^5b^7 divided by 3a^9b^6, what is the result of a^5 divided by a^9?

• a^4

• 1/a^4

• a^-4

• a^14

In the expression 15a^5b^7 divided by 3a^9b^6, what is the result of b^7 divided by b^6?

• b

• b^6

• b^13

• b^0

How do you express a^-4 using positive exponents?

• a^0

• a^4

• 1/a^4

• a^-4