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Math Help - Subtracting mixed numbers

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    Subtracting mixed numbers

    When i tried converting the mixed numbers into fractions and subtracting them I got 1 but 1 isn't one of the answer choices. What did I do wrong? The answer key reveal that it's C.
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    Re: Subtracting mixed numbers

    Quote Originally Posted by asilvester635 View Post
    When i tried converting the mixed numbers into fractions and subtracting them I got 1 but 1 isn't one of the answer choices. What did I do wrong? The answer key reveal that it's C.
    These are NOT mixed numbers. They are EXPONENTIAL numbers.

    \displaystyle \begin{align*} 2^{\frac{5}{2}} - 2^{\frac{3}{2}} &= 2\cdot 2^{\frac{3}{2}} - 2^{\frac{3}{2}} \\ &= 2^{\frac{3}{2}} \left( 2 - 1 \right) \\ &= 2^{\frac{3}{2}} \cdot 1 \\ &= 2^{\frac{3}{2}} \end{align*}
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