there are (53)2 ⋅ 50 hens in a bird enclosure. what is the total number of hens in the enclosure? (1 point)

0

55

56

530

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

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.