Simplify the given expression: $$ -3 \times\left[75 \div(9-4)^{2}\right]^{2} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
-3 \times\left[75 \div(9-4)^{2}\right]^{2}
$$

**Step 1: Calculate the expression inside the parentheses**

$$
9 - 4 = 5
$$

**Step 2: Square the result**

$$
5^2 = 25
$$

**Step 3: Divide 75 by the squared result**

$$
75 \div 25 = 3
$$

**Step 4: Square this quotient**

$$
3^2 = 9
$$

**Step 5: Multiply by -3**

$$
-3 \times 9 = -27
$$

**Final Answer:**

$$-27$$
$$-27$$

Simplify the given expression: