Question

What is the missing exponent?

Answer 1

http://static.k12.com/bank_packages/files/media/mathml_63589419199f782841d0e7024dda1eb15980b1ff_1.gif

Answer 2

I believe the missing part is on the right side of the equality.
So let's focus on the left side and simplify it as muh as we can using the exponential properties, if we get "12" that must mean that it's correct, but if we get something different to "12" then, that must mean that inded, it's incorrect.
Let's take that right side:
\[\frac{ (12^{-5})^{2} }{ 12^{-4} }\]
Let's use the property of the negative exponent, so let's bring that 12^-4 above:
\[12^{4}(12^{-5})^{2}\]
and then the property of the exponent of an exponent:
\[12^4 12^{-10}\]
And then, the property of the multiplication of the same base, different exponent:
\[12^{-6}\]
now, let's compare it to the right side, we notice that they are different:
\[12^{-6}\neq 12\]
so we can conclude that the missing exponent is: -6

Answer 3

thatnks so mutch