Help With Simple Expression

**MathClown** · January 22nd 2013, 04:25 AM

(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!

**Soroban** · January 22nd 2013, 05:39 AM

Hello, MathClown!

Exactly where is your difficulty?

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

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

**Nycw006** · January 22nd 2013, 10:19 PM

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.

**Prove It** · January 22nd 2013, 10:27 PM

Originally Posted by MathClown

(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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