Question

I know its -1 but someone help me

Answer 1

start by ignoring the exponents. if you have
1/12 * 12 would you get 12 ?

Answer 2

\[ \frac{1}{12} \cdot 12 = 1\]

Answer 3

you would get 1

Answer 4

on the other hand if we had
\[ \frac{1}{12} \cdot 12\cdot 12 = 12\]
or
\[ \frac{12^2}{12^1} = 12 \]

Answer 5

okay . so whats the next step

Answer 6

maybe that is not the best idea. Let's use the "flip" rule
and flip the 1/12 to get 12 and change the exponent by multiplying by -1

\[ \left(\frac{1}{12}\right)^{-2b} = 12^{2b} \]

Answer 7

notice -2b*-1 becomes +2b

now the problem is
\[ 12^{2b}\cdot 12^{-2b+2} = 12^1 \]

when you multiply the same numbers (i.e. the 12's) you can add their exponents

Answer 8

what do you get if you add the exponents on the left side.