Solve (4×5)/(3×2) Raised to Negative 2: Complete Solution

To solve this problem, we will follow the standard rule for evaluating expressions with negative exponents:

• Step 1: Identify the original expression – $\left(\frac{4 \times 5}{3 \times 2}\right)^{-2}$.
• Step 2: Apply the negative exponent rule which states $(a/b)^{-n} = (b/a)^{n}$.
• Step 3: Simplify the expression.

Now, let's proceed through each step:

Step 1: The expression within the parentheses is $\frac{4\times5}{3\times2}$, which simplifies to $\frac{20}{6}$ or further reduced to $\frac{10}{3}$. However, for the purpose of matching the choices given, we'll use the product form directly.

Step 2: Apply the negative exponent formula:
$\left(\frac{4 \times 5}{3 \times 2}\right)^{-2} = \left(\frac{3 \times 2}{4 \times 5}\right)^2$

Step 3: The result of this step shows the reciprocal raised to the power of 2:

The solution to the problem is therefore represented as:
$\left(\frac{3 \times 2}{4 \times 5}\right)^2$.

Upon reviewing the choices provided, this corresponds to choice 1.