Dexter wrote the expression n × n × n × n, and ellie wrote an equivalent expression in terms of n. what is the value of ellie’s expression when n = 5?
a) 20
b) 125
c) 625
d) unable to determine the value of ellie's expression without knowing the expression.

The correct option is C). 625

Step-by-step explanation:

The expression written by Dexter is given to be : n × n × n × n

Let the expression given by Ellie to be x

Now, its given both the expressions are equivalent to each other.

So, x = n × n × n × n

We need to find the value of Ellie expression when n = 5

So, substituting the value of n - 5 in the above expression.

Therefore, x = 5 × 5 × 5 × 5

⇒ x = 625

Therefore, The value of Ellie's expression is 625

Hence, The correct option is C). 625