Rational & Irrational Numbers Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
14 of 2014 of 20 Items

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

5−4
5 superscript negative 4 baseline

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
Remaining Attempts : 3

Answer 1

To simplify the expression \((5 - 6) - 23\), first calculate \(5 - 6\):

\[ 5 - 6 = -1 \]

Now, substitute \(-1\) back into the expression:

\[ -1 - 23 \]

Now perform the addition:

\[ -1 - 23 = -24 \]

Now, let's express \(-24\) in various forms that resemble the given options.

1. In terms of powers of 5: \(-24\) can be expressed as \(-\frac{24}{1}\) but does not relate directly to powers of 5.

2. We can express \(-24\) as \(5^{-3} \times 48\), but this is complex.

From the options provided, the most relevant option that resembles our calculation does not seem to relate to our simplified answer.

If we focus specifically on the form requested:

• The term \(5^{-4}\) doesn’t directly represent \(-24\).
• The term \(5^{-20/3}\) seems unrelated as well.

Thus, the nearest equivalent expression based on simplification would not fall under any of the listed options. However, if the context was meant to equal a generalized form instead, we might focus on \(5^{-203}\) as a negative exponent.

Please clarify the expected format you are looking for among the provided choices.