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Thread: Five raisied to the nth power of 2

  1. #1
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    Five raisied to the nth power of 2

    Hi,

    I hope this is in the right place. There probably is a very simple answer to the question I have but here goes.

    I understand raising to the power but I don't understand the two following statements that are in my programming book; more specifically I do not know how I would write them down on paper.

    Five raised to the first power of 2 is 25
    Five raised to the second power of 2 is 125

    It's confusing me because I know 5^2 is 25 and that 5^3 is 125 so how can "Five raised to the second power of 2 be 125" and how would I express it in laymans terms?

    My math isn't great so please keep it simplish!

    And thanks in advance!
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  2. #2
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    Re: Five raisied to the nth power of 2

    Quote Originally Posted by philuk2000 View Post
    Five raised to the first power of 2 is 25
    Five raised to the second power of 2 is 125
    It's confusing me because I know 5^2 is 25 and that 5^3 is 125 so how can "Five raised to the second power of 2 be 125" and how would I express it in laymans terms?
    It is very awkward to say "Five raised to the second power of 2 "
    Because you probably mean $\displaystyle 2^2=4$. So you have $\displaystyle 5^4=625$.

    Now five to the third power is $\displaystyle 5^3=125$

    But $\displaystyle 5^{2^{3}}=5^8=390625$, read "5 to the third power of 2.

    NOTE that $\displaystyle 5^{2^{3}}\ne (5^2)^3=5^6$
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    Re: Five raisied to the nth power of 2

    Quote Originally Posted by Plato View Post
    It is very awkward to say "Five raised to the second power of 2 "
    Because you probably mean $\displaystyle 2^2=4$. So you have $\displaystyle 5^4=625$.

    Now five to the third power is $\displaystyle 5^3=125$

    But $\displaystyle 5^{2^{3}}=5^8=390625$, read "5 to the third power of 2.

    NOTE that $\displaystyle 5^{2^{3}}\ne (5^2)^3=5^6$
    Blimey! $\displaystyle 5^{2^{3}}$ So how do I enter that on a calculator, or more so how is that represented without using the ^ symbol (i.e. like 5x5x5x5 etc.)

    Also is "Five raised to the second power of 2 is 125" wrong in the book?

    I didn't understand this bit with the funny equals sign. NOTE that $\displaystyle 5^{2^{3}}\ne (5^2)^3=5^6$ and when I enter $\displaystyle (5^2)^3$ on my calculator i get 15625 so i'm doing something wrong.

    Thanks for your help by the way!
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    Re: Five raisied to the nth power of 2

    Quote Originally Posted by philuk2000 View Post
    $\displaystyle 5^{2^{3}}$ So how do I enter that on a calculator, or more so how is that represented without using the ^ symbol (i.e. like 5x5x5x5 etc.
    I do not know much about calculators. But in computer algebra we could enter 5^(2^3) using parentheses where needed.

    Quote Originally Posted by philuk2000 View Post
    Also is "Five raised to the second power of 2 is 125" wrong in the book?
    Again, I do not know the vocabulary of your textbook, or language.
    I would read "Five raised to the second power of 2" as $\displaystyle 5^{(2^2)}=5^4=625$.
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  5. #5
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    Re: Five raisied to the nth power of 2

    Quote Originally Posted by Plato View Post
    I do not know much about calculators. But in computer algebra we could enter 5^(2^3) using parentheses where needed.
    Interesting, I was entering it as (5^2)^3 now that's making more sense with that answer now.

    Again, I do not know the vocabulary of your textbook, or language.
    It's a C programming book in English.

    I would read "Five raised to the second power of 2" as $\displaystyle 5^{(2^2)}=5^4=625$.
    Yes that's exactly how I'm reading it which is why i'm confused why the book states it as 25 and 125 on each line.

    The exercise is to write a program that prints 5 raised to the first five powers of 2 and the output of each line is in the format "Five raised to the nth power of 2 is x"

    The difficulty is that I cannot use loops or a mod operator and have to print the line individually.

    I haven't worked it out yet and the wording hasn't helped

    Again, thank you very much for the help.
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