(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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- Jan 22nd 2013, 04:25 AMMathClownHelp 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! - Jan 22nd 2013, 05:39 AMSorobanRe: Help With Simple Expression
Hello, MathClown!

Exactly where is your difficulty?

Quote:

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

We have: .$\displaystyle \left(2\cdot 2^2\cdot 3\right)^2 \;=\;(2\cdot4\cdot3)^2 \;=\;(24)^2 \;=\;576$

- Jan 22nd 2013, 10:19 PMNycw006Re: 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. - Jan 22nd 2013, 10:27 PMProve ItRe: Help With Simple Expression