To simplify the expression \( 136 \cdot 13 - 12 \), let's break it down.
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Calculate \( 136 \cdot 13 \): \[ 136 \cdot 13 = 1768 \]
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Subtract \( 12 \) from \( 1768 \): \[ 1768 - 12 = 1756 \]
Now, we want to see if any of the provided responses are equivalent to \( 1756 \).
Looking through the options:
- 133 (not equivalent)
- 13 cubed \( (13^3) \) = \( 2197 \) (not equivalent)
- 1133 (not equivalent)
- Start Fraction 1 over 13 cubed End Fraction = \( \frac{1}{2197} \) (not equivalent)
- 13112 (not equivalent)
- 13 superscript Start Fraction 11 over 2 End Fraction baseline = \( 13^{11/2} \) (not equivalent)
- 13−3 = \( \frac{1}{13^3} \) (not equivalent)
None of the given responses are equivalent to the value \( 1756 \).
It appears that the answers given do not match the expression we simplified. If you want more about how I got to those conclusions or an alternative way to express \( 136 \cdot 13 - 12 \) (that is not found in the responses), please let me know!