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Math Help - Help With Simple Expression

  1. #1
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    Help With Simple Expression

    (2a^2x)^2

    When a = 2 and x = 3

    The book states the answer as 576, but I can't see how that figure derived.

    Thank you!
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  2. #2
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    Re: Help With Simple Expression

    Hello, MathClown!

    Exactly where is your difficulty?


    \text{Evaluate: }\:(2a^2x)^2 \;\text{ when }a = 2\text{ and }x = 3.

    We have: . \left(2\cdot 2^2\cdot 3\right)^2 \;=\;(2\cdot4\cdot3)^2 \;=\;(24)^2 \;=\;576
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  3. #3
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    Re: Help With Simple Expression

    Always remember the order of operations: PEDMAS ...Parenthesis, Exponents, Multiplication/Division, and last of all Addition/Subtraction.
    So in the equation (2a^2x)^2 ....we look to the parenthesis 1st ...(2*2^2*3)....
    exponents come next -->(2*4*3)=24 ,
    then 24^2=576.
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  4. #4
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    Re: Help With Simple Expression

    Quote Originally Posted by MathClown View Post
    (2a^2x)^2

    When a = 2 and x = 3

    The book states the answer as 576, but I can't see how that figure derived.

    Thank you!
    Is your expression \displaystyle \begin{align*} \left( 2a^2x \right)^2 \end{align*} or \displaystyle \begin{align*} \left( 2a^{2x} \right)^2 \end{align*}?
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