Results 1 to 10 of 10

Math Help - single powers of 4

  1. #1
    Super Member
    Joined
    Oct 2008
    From
    Bristol, England
    Posts
    897

    single powers of 4

    hi this is my question:
    write in single power of 4
    (4^2)^3

    how would i do this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by andyboy179 View Post
    hi this is my question:
    write in single power of 4
    (4^2)^3

    how would i do this?
    Note that (4^2)^3=(4\cdot4)^3=(4\cdot4)(4\cdot4)(4\cdot4)=4\  cdot4\cdot4\cdot4\cdot4\cdot4=?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Oct 2008
    From
    Bristol, England
    Posts
    897
    =4096?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by andyboy179 View Post
    =4096?
    Well, yeah....but the problem asked for (4^2)^3=4^{x}. So, from looking at my above post, what number should replace the x here?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Oct 2008
    From
    Bristol, England
    Posts
    897
    3?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by andyboy179 View Post
    3?
    Not quite. My first post says that (4^2)^3 is the same thing as 4\cdot4\cdot4\cdot4\cdot4\cdot4 which is the same thing as 4^{\color{red}6}.

    So, the answer is (4^2)^3=4^6.

    And moreover, in general, (a^m)^n=a^{m\cdot{n}}
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member
    Joined
    Oct 2008
    From
    Bristol, England
    Posts
    897
    Quote Originally Posted by VonNemo19 View Post
    Not quite. My first post says that (4^2)^3 is the same thing as 4\cdot4\cdot4\cdot4\cdot4\cdot4 which is the same thing as 4^{\color{red}6}.

    So, the answer is (4^2)^3=4^6.

    And moreover, in general, (a^m)^n=a^{m\cdot{n}}
    oh so i times to 2 top numbers? so is the question was (4^3)^5 it would = 4^15?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by andyboy179 View Post
    oh so i times to 2 top numbers? so is the question was (4^3)^5 it would = 4^15?
    Ideed.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Super Member
    Joined
    Oct 2008
    From
    Bristol, England
    Posts
    897
    cheers mate! if it was (4^3)^-2 i would do the same so it would be 4^-6
    Follow Math Help Forum on Facebook and Google+

  10. #10
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by andyboy179 View Post
    cheers mate! if it was (4^3)^-2 i would do the same so it would be 4^-6
    Correct.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. single solution
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: November 15th 2010, 02:46 AM
  2. Single Set Sampling
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: April 18th 2010, 02:44 PM
  3. Single equation, single unknown. How to solve?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: March 14th 2010, 01:37 PM
  4. single solution?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: June 8th 2009, 11:28 AM
  5. One More Single Log
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: August 8th 2008, 07:49 AM

Search Tags


/mathhelpforum @mathhelpforum