Which of the following is developed to be equivalent to 185?(1 point)
8^5
5−^8
8^1/5
8−^5
The expression that is developed to be equivalent to 185 is:
8^5
The option that is equivalent to 185 is 8^5.
To determine which of the given options is equivalent to 185, we can calculate each option and compare the results.
Option 1: 8^5
To calculate this option, raise 8 to the power of 5:
8^5 = 8 × 8 × 8 × 8 × 8 = 32,768
Option 2: 5−^8
It seems that there is a typographical error in this option. The caret symbol (^) typically represents exponentiation. However, it appears that the minus symbol (-) was intended. If we assume it is an exponentiation, the calculation would be as follows:
5^8 = 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 = 390,625
Option 3: 8^1/5
To calculate this option, take the fifth root of 8:
∛∛∛∛8 = 1.51562
Option 4: 8−^5
Similar to Option 2, there seems to be a typographical error in this option. Assuming it is meant to be exponentiation, the calculation would be as follows:
8^5 = 8 × 8 × 8 × 8 × 8 = 32,768
Comparing the results:
- Option 1: 8^5 = 32,768
- Option 2: 5^8 = 390,625
- Option 3: 8^1/5 ≈ 1.51562
- Option 4: 8^5 = 32,768
Based on the calculations, the option that is equivalent to 185 is Option 4: 8^5.