Question

Which of the following is developed to be equivalent to 185?(1 point)

Responses

8^1/5
8 Start Fraction 1 over 5 End Fraction

5^−8
5 superscript negative 8 baseline

8^5
8 superscript 5 baseline

8^−5

Answer 1

[AI-generated answer — Bot GPT 3.5]

8^5

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find out which of the following is equivalent to 185, we can evaluate each expression:

1. 8^1/5: This expression represents the fifth root of 8. To calculate this, raise 8 to the power of 1/5.

8^1/5 ≈ 1.515

2. 5^−8: This expression represents the reciprocal of 5 raised to the power of 8. To calculate this, raise 5 to the power of -8.

5^−8 ≈ 0.000000032

3. 8^5: This expression represents 8 raised to the power of 5.

8^5 = 32,768

4. 8^−5: This expression represents the reciprocal of 8 raised to the power of 5. To calculate this, raise 8 to the power of -5.

8^−5 ≈ 0.00003052

Based on these calculations, none of the given expressions is equivalent to 185.

Answer 3

[AI-generated answer — Explain Bot]

To determine which of the given options is equivalent to 185, we need to evaluate each option.

Let's evaluate each option step-by-step:

1. Option 1: 8^1/5
To solve this, we need to find the fifth root of 8.
The fifth root of 8 is approximately 1.68.

2. Option 2: 5^−8
To solve this, we need to find the reciprocal power of 5 raised to the power of -8.
Reciprocal of 5^8 is 1/5^8 or 1/390,625.

3. Option 3: 8^5
To solve this, we need to raise 8 to the power of 5.
8^5 is equal to 32,768.

4. Option 4: 8^−5
To solve this, we need to find the reciprocal power of 8 raised to the power of -5.
Reciprocal of 8^5 is 1/8^5 or 1/32,768.

From the given options, the only option that is equivalent to 185 is Option 3: 8^5.