Multiply: 12m^5 / -2m^2 * 6m^6 / 28m^3
a) 9m^5 / 7
b) -9m^5 /7
c) 9m^6 / 7
d) -9m^6 / 7
d
correct.
D is the answer.
12m^5 * 6m^6= 72m^11
Add exponents when multiplying= 11
Multiply the constant numbers= 72
-2m^2 *28m^3= -56m^5
(72m^11)/(-56m^5)= (-9/7)m^6
when dividing, the exponents needs to be subtracted. 72 and -56 both go into 8 so reduce it and gives you negative 9/7.
thanks jessie and bobpursley
To multiply the given expressions, you need to follow these steps:
Step 1: Multiply the numerators (top numbers) together.
Step 2: Multiply the denominators (bottom numbers) together.
Step 3: Simplify the resulting fraction, if possible.
Let's go through each step one by one:
Step 1: Multiply the numerators together.
12m^5 * 6m^6 = 72m^11
Step 2: Multiply the denominators together.
-2m^2 * 28m^3 = -56m^5
Step 3: Simplify the resulting fraction.
The resulting expression is 72m^11 / -56m^5. To simplify this fraction, you can:
- Divide both the numerator and denominator by the greatest common factor (GCF) to reduce the coefficients (numbers).
- Subtract the exponents when dividing the same base (in this case, "m").
Let's simplify the expression step by step:
Divide the coefficients:
72 / -56 = -9 / 7
Divide the variables with the same base:
m^11 / m^5 = m^(11-5) = m^6
Putting it all together, we have:
-9 / 7 * m^6
So, the correct answer is d) -9m^6 / 7.