To solve the given mathematical expression [tex]\(\frac{(-4)(-2)(-5)}{(-2)(2)}\)[/tex], we need to follow these steps:
1. Calculate the Numerator:
The numerator of the fraction is given by the product [tex]\((-4) \times (-2) \times (-5)\)[/tex]. Let's break it down step-by-step:
1.1 Multiply the first two numbers:
[tex]\[
(-4) \times (-2) = 8
\][/tex]
1.2 Now, multiply the result by the third number:
[tex]\[
8 \times (-5) = -40
\][/tex]
So, the numerator is [tex]\(-40\)[/tex].
2. Calculate the Denominator:
The denominator of the fraction is given by the product [tex]\((-2) \times 2\)[/tex]. Let's calculate this:
2.1 Multiply the two numbers:
[tex]\[
(-2) \times 2 = -4
\][/tex]
So, the denominator is [tex]\(-4\)[/tex].
3. Divide the Numerator by the Denominator:
Now, we need to divide the numerator by the denominator:
[tex]\[
\frac{-40}{-4} = 10
\][/tex]
Therefore, the value of the given expression [tex]\(\frac{(-4)(-2)(-5)}{(-2)(2)}\)[/tex] is:
[tex]\[
10
\][/tex]
