Question

3^1009- 3^1008- 3^1007+ 3^1006= k× 3^1006
K=?
Please give the answer

Answer 1

Answer:

k = 16

Step-by-step explanation:

3¹⁰⁰⁹ - 3¹⁰⁰⁸ -3¹⁰⁰⁷ +3¹⁰⁰⁶  = k x 3¹⁰⁰⁶

From this expression take out 3¹⁰⁰⁶ as common

i.e 3¹⁰⁰⁶(3³ - 3² -3 +1) = k x 3¹⁰⁰⁶

If you want to verify multiply them back.

( This is made possible because Nᵃ x Nˣ = Nᵃ⁺ˣ)

Therefore k = 27 - 9 - 3 + 1

k = 16.

Answer 2

Answer:

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