Sure! Let's break down the given expression step-by-step:
We start with the expression:
[tex]\[ -6(-2) \div 4(-3) \][/tex]
1. Calculate the product of [tex]\(-6\)[/tex] and [tex]\(-2\)[/tex]:
[tex]\[ -6 \times (-2) = 12 \][/tex]
When you multiply two negative numbers, the result is positive.
2. Calculate the product of [tex]\(4\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[ 4 \times (-3) = -12 \][/tex]
When you multiply a positive number by a negative number, the result is negative.
3. Divide the result from step 1 by the result from step 2:
[tex]\[ \frac{12}{-12} = -1 \][/tex]
Dividing a positive number by a negative number yields a negative result.
Bringing it all together, we have:
[tex]\[ -6(-2) \div 4(-3) = -1 \][/tex]
So, the final answer is:
[tex]\[ -1 \][/tex]
