To solve the given mathematical expression [tex]\(\left(\frac{41,000 \times 0.015075}{0.0067}\right)^2\)[/tex], we will follow a step-by-step approach:
1. Multiply [tex]\(41,000\)[/tex] by [tex]\(0.015075\)[/tex]:
[tex]\[
41,000 \times 0.015075 = 618.075
\][/tex]
So, the numerator of the fraction is [tex]\(618.075\)[/tex].
2. Identify the denominator:
The denominator is given directly as [tex]\(0.0067\)[/tex].
3. Divide the numerator by the denominator:
[tex]\[
\frac{618.075}{0.0067} = 92,250
\][/tex]
So, the value of the fraction is [tex]\(92,250\)[/tex].
4. Square the result of the fraction:
[tex]\[
92,250^2 = 8,510,062,500
\][/tex]
Therefore, the final solution of the expression [tex]\(\left(\frac{41,000 \times 0.015075}{0.0067}\right)^2\)[/tex] is [tex]\(8,510,062,500\)[/tex].