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Question

anonymous · Answer

$$|12a^2b^6|^2$$

anonymous · Answer

I know. I'm desperate. Usually, I'm a grammar Nazi.

anonymous · Answer

Can you guys see the problem?

mathstudent55 · Answer

$\large (a^m)^n = a^{mn} $

anonymous · Answer

So, do I multiply the exponents?

mathstudent55 · Answer

Since the exponents of a and b are both even, you can replace the absolute value signs with parentheses. Then use the rule of exponents above. Remember that $12 = 12^1$ and must also be raised to 2.

anonymous · Answer

So, would it be $$12a^4b^12$$

mathstudent55 · Answer

Yes, correct. Multiply the exponents. You won't need parentheses in the final answer.
Here is another rule you need:
$\large (ab)^m = a^mb^m$

anonymous · Answer

Typo... but I hope you get it.

mathstudent55 · Answer

I understand what you mean, but did you read what I wrote about the 12 above?

mathstudent55 · Answer

Look at the second rule first. When you raise a quantity to an exponent, you need to raise every factor to that exponent.

mathstudent55 · Answer

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