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Math Help - Indicies

  1. #1
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    Indicies

    2^{2x+1}=2^{2x}\times2^{1}=4^{x2} Is that right?
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Flexible View Post
    2^{2x+1}=2^{2x}\times2^{1}=4^{x2} Is that right?
    No, that is not correct.

    2^{2x+1}=2^{2x} \cdot 2^1 is true. This cannot be simplified further.

    2^{2x} \cdot 2 \neq 4^{2x}

    Remember the rule for multiplying same bases:

    x^a \cdot x^b=x^{a+b}

    Example: 2 \cdot 2^2 \neq 4^2

    2 \cdot 2^2 = 2^3 = 8
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  3. #3
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    However, you can write 2^{2x+1} as 2 \cdot 4^x.
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