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Express as Exponents - Division

Learn how to divide exponents with the same powers using the power of quotient rule. Understand when bases are different but the powers remain the same. Examples provided for both positive and negative powers.

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Express as Exponents - Division

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  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

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