Answer:
The correct answer is C. 5⁶
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of hens in a bird enclosure = (5³)² * 5⁰
2. What is the total number of hens in the enclosure?
Let's recall a couple of properties of the exponents:
1. When you raise any number to a zero power you'll always get 1, with the exception of zero itself.
x⁰ = 1, x ≠ 0
2. The power of a power property says that to calculate a power of a power you just have to multiply the exponents, this way:
(x⁴)⁵ = x ⁴°⁵ = x²⁰
Now, applying those two properties, we have:
(5³)² * 5⁰ = 5³°² * 1 = 5⁶
The correct answer is C. 5⁶
