1 / 9

Express as Exponents - Division

Express as Exponents - Division. Introduction. Let us write the exponential form of exponents with same powers. a 4 ÷ b 4. Bases : a, b Powers : = 4. Expanding a 4. a x a x a x a. a has multiplied itself 4 times. Expanding b 4. b x b x b x b. b has multiplied itself 4 times.

rboisvert
Download Presentation

Express as Exponents - Division

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Express as Exponents - Division

  2. Introduction Let us write the exponential form of exponents with same powers a4÷b4 Bases : a, b Powers : = 4 Expanding a4 a x a x a x a a has multiplied itself 4times Expanding b4 b x b x b x b b has multiplied itself 4 times So, x x x = Power is same Exponential form of a4÷b4 = Bases are different

  3. Same Power and Different Bases Dividing Powers with Same Exponents For any non-zero integers ‘a’ and ‘b’, where ‘m’ is whole number, we can define Power of Quotient Rule as, Power is same am÷bm = = Bases are different where a, b = bases , m =power Apply this rule to divide exponents if the exponents are same

  4. Dividing powers having same exponents – Positive powers Example 1:- Write the exponential form of: Solution = 26 ÷ 56 Step 1: Powers are same is in the form Apply power of quotient rule am÷bm = = Bases : a = 2, b = 5Power : m = 6 26 ÷ 56 = = So, exponential form of = Ans:

  5. Dividing powers having same exponents – Negative powers Example 2:- Write the exponential form of: Solution = -13 ÷ 93 Step 1: Powers are same is in the form Apply power of quotient rule am÷bm = = Bases : a = -1, b = 9Power : m = 3 -13 ÷ 93 = = So, exponential form of = Ans:

  6. Dividing powers having same exponents – Negative powers Example 3:- Write the exponential form of: Solution = 37 ÷ (-7)7 Step 1: Powers are same is in the form Apply power of quotient rule am÷bm = = Bases : a = 3, b = -7Power : m = 7 37 ÷-77 = = = So, exponential form of Ans:

  7. Dividing powers having same exponents – Positive powers Example 4:- Write the exponential form of: Solution = 33 ÷ 83 Step 1: Powers are same is in the form Apply power of quotient rule am÷bm = = Bases : a = 3, b = 8Power : m = 3 33 ÷83 = = So, exponential form of = Ans:

  8. Power of Quotient Rule – More Examples am÷bm =

  9. Try these • Write the exponential form of • Write the exponential form of • Write the exponential form of

More Related