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Math Help - Exponents

  1. #1
    Member Veronica1999's Avatar
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    Exponents

    What is 5 raised to the 2.5 power?

    Veronica.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Veronica1999 View Post
    What is 5 raised to the 2.5 power?

    Veronica.
    Just plug it into your calculator: 5^{2.5} \approx 55.902 to 3 d.p. is that what you want?
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  3. #3
    Member Veronica1999's Avatar
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    Can I get the answer without using a calculator?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Veronica1999 View Post
    Can I get the answer without using a calculator?
    not exactly. you could write it using radicals for the exact answer. that would be 5^{2.5} = 5^{5/2} = \sqrt {5^5} = \sqrt {3125}

    otherwise, you could get a decimal approximation by hand. but that is way more work than this is worth, and i doubt your professor would want you to do that
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  5. #5
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    Quote Originally Posted by Veronica1999 View Post
    What is 5 raised to the 2.5 power?

    Veronica.
     5^{2.5} = 5^2 \cdot 5^{0.5}

     25 \sqrt{5}

    You should be able to extract the \sqrt{5} w/o a calculator if that part is required.
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  6. #6
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    you could use Binomial Expansion.
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