# Lana says there are #4^3# eggs in a dozen. Patrick says there are #3^4# eggs in a dozen. Is either person correct? Why?

##### 3 Answers

Oct 9, 2017

No.

Here is why:

A dozen is 12.

Oct 9, 2017

Neither of them are correct.

#### Explanation:

A dozen is

Let's evaluate each exponent to see if either are equal to

Since

Since

Therefore, neither Patrick nor Lana is correct.

Oct 9, 2017

None of them are correct.

#### Explanation:

A dozen is defined as a group of 12 (twelve).

If we simplify each of the values, we get:

I will do it step by step to avoid confusion.

#4^3#

#=4xx4xx4#

#=16xx4#

#=64#

#3^4#

#=3xx3xx3xx3#

#=9xx3xx3#

#=27xx3#

#=81#

Therefore, neither Lana nor Patrick are correct.

In fact, no expression of a value by the power of

Hope this helps :)