Sure, let's solve the expression step-by-step.
The expression we need to evaluate is:
[tex]$
\left(625^2\right)^{18}
$[/tex]
First, let's handle the inner expression:
[tex]$
625^2
$[/tex]
Take 625 and square it. We get:
[tex]$
625^2 = 390625
$[/tex]
Next, we need to raise this result to the power of 18:
[tex]$
(390625)^{18}
$[/tex]
Performing this calculation, we arrive at the following value:
[tex]$
44841550858394146269559346665277316200968382140048504696226185084473314645947539247572422027587890625
$[/tex]
This is a very large number, far greater than any of the provided choices. Knowing the possible answers:
A. 5
B. 25
C. 125
D. 1
We can see that none of these options match the large computed value.
So, we conclude that the correct answer is not among the provided choices. Hence, checking all possibilities thoroughly might reveal an error in the options provided because the computed value is correct.
