To simplify the expression \(136 \cdot 13 - 12\), let's first calculate \(136 \cdot 13\):
\[ 136 \cdot 13 = 1768 \]
Next, we will subtract \(12\):
\[ 1768 - 12 = 1756 \]
Now, we want to express \(1756\) in terms of \(13\).
Finding \(1756\) in terms of \(13\) involves some calculations. However, none of the provided answers seem to relate directly in a simple manner to our original expression.
Let's evaluate the responses given:
- 133 – This is not equivalent as it represents just a number.
- 13 cubed – This is \(13^3 = 2197\), which is not equivalent.
- 13−3 – This is \(13^{-3} = \frac{1}{13^3}\), which does not relate.
- 13112 – This does not express anything relevant to our calculations.
- 1133 – This is \( \frac{1}{13^3} \) which is also unrelated.
None of the responses seem to be equivalent to \(1756\) or express it in a meaningful way with respect to \(13\).
So, the expression \(136 \cdot 13 - 12\) simplifies to \(1756\), but there is no direct equivalent from the provided options.
If you're looking for a different interpretation or calculation, please clarify!