https://file.aiquickdraw.com/mathbot/file/1726905214362req7t1h8.jpg

The expression in the image is:

\[
\frac{(16 - 12)^2 + 5(8 + 2)^2}{5^3 - (11 \times 4)^2}
\]

To solve the numerator, let's break down each part:

### Numerator:
\[
(16 - 12)^2 + 5(8 + 2)^2
\]

1. \(16 - 12 = 4\), so \((4)^2 = 16\).
2. \(8 + 2 = 10\), so \((10)^2 = 100\), and \(5 \times 100 = 500\).

Adding both terms in the numerator:

\[
16 + 500 = 516
\]

Thus, the simplified numerator is **516**.

Would you like me to simplify the denominator or verify further?

Consider the expression (16 - 12)^2 + 5(8 + 2)^2 / 5^3 - (11 x 4)^2. What is the simplified numerator?

Learn how to simplify the expression (16 - 12)^2 + 5(8 + 2)^2 with a step-by-step breakdown of the numerator, covering key algebraic concepts like exponents and the order of operations. Suitable for Grades 7-10.

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