Question

HALP! I WILL AWARD MEDAL AND BECOME FAN

Answer 1

\[|12a^2b^6|^2\]

Answer 2

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

Answer 3

Can you guys see the problem?

Answer 4

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

Answer 5

So, do I multiply the exponents?

Answer 6

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.

Answer 7

So, would it be \[12a^4b^12\]

Answer 8

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

Answer 9

Typo... but I hope you get it.

Answer 10

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

Answer 11

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