Algebra

posted by .

Can anyone please show me how 3^n/6^(2n+1) becomes 1/2^n(6^(n+1))= 1/6)/12^n when you divide top and bottom by 3^n?

Thank you and have a great day!

  • Algebra -

    let's work on the bottom

    6^(2n+1)
    = 3^(2n+1)* 2^(2n+1)
    = 3^n * 3^(n+1) * 2^n * 2^(n+1)
    = 3^n * 2^n * 6^(n+1)

    now the 3^n would cancel the 3^n on top, leaving you with
    1/(2^n * 6^(n+1) )

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Simplify 36x^2 y^4 a^-2 ____________________ 72a x^-1 y ^ means power Divide both numerator and denominator by 36 which will give you 1/2. Then the a^-2 on top will tranfer to the bottom becoming a^2 and that will combine with the …
  2. math

    Is this the answear to 36x^2 y^4 a^-2 ____________________ 72a x^-1 y ^ means power Answear 1 _____ 2 a^3 x^-1 y^-3 Close, but now the exponent for x is wrong. The y term should be in the numerator too. Try again. Here is how it is …
  3. Luke, Math , algebra

    Sorry it was a type. For the problem multiply and write answer in simplest form. 4/12 multiplied by 10/4 My answer: FOr what i understood i only got to the flipping step which is 4/12 multiplied by 4/10 now what step do i do. you mulitply …
  4. drbob222, math ,algebra

    can you explain to me the following problem , ms.sue and others are trying to help me but they are making me more confuse. Is there any short cuts to the following problem. Directions:multiply and write the answer in simplest form. …
  5. math,algebra,help

    can someone show me how to solve this: Simplify 3 --- + 1 x-5 ----------- 4 1 minus ---- x -5 that did n't look right...typo... here it is its a fraction on top of the other so the top is fine.the bottom should read one minus (4)/(x-5) …
  6. math,help

    can someone show me these steps with the division like 2 --- 1 which would mean half. the following though. so i can see it. Simplify 3 --- + 1 x-5 ----------- 1 - (4)/(x-5) Get least common denominator. For top part, the LCD is x-5. …
  7. Algebra

    Simplify: (x)+(4/x)-(1) --------------divide top by bottom (1/x)-(3/x^2) I have been trying to solve this one, but I just don't know how to start. I feel like I am missing out on some math rules, so please help!
  8. English

    Look at the picture. You may have a starfish on the bottom left. You may have a sea horse on the top right side. Do you have six small fish on the top left?
  9. Calculus

    ∫3 at top and 2 at bottom x/x^2+1 dx = ?
  10. Stats

    A sociology professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: scores below the top 14% and above the bottom 55% C: scores below the top 45% and above the bottom 17% D: scores below …

More Similar Questions