Question

There are (53)2 ⋅ 50 hens in a bird enclosure. What is the total number of hens in the enclosure?

a) 0
b) 55
c) 56
d) 530

Answer 1

I got 5,300. I’m not sure if that’s what you meant for “d”.

Answer 2

c)
`5^(6)`

Explanation:

We have been given that there are
`(5^3)^2\cdot 5^0` hens in a bird enclosure. We are asked to find the total number of hens in the enclosure.

Using exponent property
`a^0=1`, we will get:

`(5^3)^2\cdot 1`

`(5^3)^2`

Using exponent property
`(a^b)^c=a^(b\cdot c)`, we will get:

`5^(3\cdot 2)`

`5^(6)`

Therefore, there are total number of hens in the enclosure would be
`5^(6)`.