Question

Generate an equivalent expression to (5−6)−23
.(1 point)
Responses

154
Start Fraction 1 over 5 superscript 4 baseline End Fraction

54
5 superscript 4 baseline

5−203
5 superscript Start Fraction negative 20 over 3 End Fraction baseline

5−4

Answer 1

To simplify the expression \((5−6)−23\):

First, calculate \(5 - 6\):
\[
5 - 6 = -1
\]

Now, substitute back into the expression:
\[
(-1) - 23 = -1 - 23 = -24
\]

The equivalent expression to \((5−6)−23\) simplifies to \(-24\).

None of the options provided seem to represent \(-24\) directly. However, let's check which of the options might be restructured to relate to the expression:

- \(154\)
- \( \frac{1}{5^4} \)
- \( 54 \)
- \( 5^4 \)
- \( 5^{-203} \)
- \( 5^{\frac{-20}{3}} \)
- \( 5^{-4} \)

None of these options match \(-24\). Please verify if these multiple-choice answers may be interpreted or misconstrued, or if better options are available.