Which of the following was developed to result in 185 when the Properties of Negative Integer Exponents was applied?(1 point)

Question

Responses

8−5
8 superscript negative 5 baseline

5−8
5 superscript negative 8 baseline

85
8 superscript 5 baseline

18−5
Start Fraction 1 over 8 superscript negative 5 baseline End Fraction

Answer 1

To determine which option results in 185 when applying the properties of negative integer exponents, we need to evaluate each expression one by one.

1. \(8^{-5}\): \[ 8^{-5} = \frac{1}{8^5} \] This does not equal 185.

2. \(5^{-8}\): \[ 5^{-8} = \frac{1}{5^8} \] This does not equal 185.

3. \(8^5\): \[ 8^5 = 32768 \] This does not equal 185.

4. \(1/8^{-5}\): \[ \frac{1}{8^{-5}} = 8^5 \] We already calculated \(8^5\) and found it equals 32768, which does not equal 185.

None of the options directly result in 185. Please double-check the calculation or the initial question as none of the given expressions results in 185 according to the properties of negative integer exponents.