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Math Help - same input, different answer ?

  1. #1
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    same input, different answer ?

    I am using a Casio s-v.p.a.m calculator to do the following sum :-
    10 raised to the power of .5 ( 10 ^.5 ) I get the answer 3.16227766.
    However, if I input 10 raised to the power of 1 half ( 10 ^ 1 (ab/c)2 )
    I get the answer 5, why is this? can any one help?
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  2. #2
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    Quote Originally Posted by david.goldsmith7
    ( 10 ^ 1 (ab/c)2 )
    I don't understand (ab/c)
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  3. #3
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    "ab/c" is the marking on the function button of the casio s-v.p.a.m calculator that allows you to put the " / " , seprating any whole number, the numerator and denominator.
    So for 1 half you press; 1, then the ab/c button, then 2..... 1/2
    It is a split line calculator top and bottom so If you press " = " straight after entering 1 (ab/c) 2 then 1/2 appears on the bottom line. The same button has a shift function on it aswell........d/c....... so if you press shift then ab/c / d/c button the 1/2 that is displayed in the lower part of the window switches to 0.5........it has to really, any thing else would be plain lies?

    6 and 2 fifths...........6 ab/c 2 ab/c 5
    press " = " shift d/c .........6.4
    press ab/c again ..........32/5

    Amazing!!! .......so using the calculator as such why is it that if I input 10 to the raised power of .5 ( 10^.5 ) I get the answer 3.16227766
    BUT if I input 10 to the raised power of 1/2 (10^1 (ab/c) 2) I get the answer 5 ????????
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  4. #4
    MHF Contributor
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    On my TI-30XIIS calculator here,
    10 ^ 1 Ab/c 2 = -----gives 3.16227766
    64 ^ 1 Ab/c 3 = -----gives 4
    8 ^ 2 Ab/c 3 = ----gives 4

    So there is nothing wrong.

    If in your Casio, 10 ^ 1 Ab/c 2 = ----gives 5, then there must be something wrong with your calculator.
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  5. #5
    Junior Member
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    Your calculator is working out 10^1 = 10 then / 2 = 5. It's using the order of operations rule B.I.D.M.A.S and performing
    1. Brackets
    2. Indices
    3. Division
    4. Multiplication
    5. Addition
    6. Subtraction
    In that order. Try 10^(1(ab/c)/2) that should work as the calculator works out the brackets first.
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