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Math Help - Missing a rule for simplification

  1. #1
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    Missing a rule for simplification

    I just attached an image of the question because I was having trouble showing exponents in text.

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  2. #2
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    Hello, schoolboydj!

    4^{2x^2+2x} \;=\;\boxed{(2^2)^{2x^2+2x} \;=\;2^{(2)(2x^2+2x)}} \;=\;2^{4x^2+4x}

    It's from this rule: . (x^a)^b \:=\:x^{ab}

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  3. #3
    MHF Contributor
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    In the boxed (red) line, you forgot to write the 2 before the x^2.

    Otherwise, everything in your solution is fine.
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  4. #4
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    Thank you.
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